The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  X  1  X  1  X  X  X  1  1  X  1  X  1  X  X  1  1  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  0  X  X  X  0  0  X  0  X  0  0  X  0  X  X  0  0  0
 0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  0  X  0  X  0  0  0  X  X  0  X  0  X  X  0  0  0  X  0  0  X  X  X  X  0  0  0  X  0  X  X  X  X  X  X  0  0  X  X  X  X  X  X  X  0  0  0
 0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  0  0  0  X  0  X  X  0  X  X  X  X  X  0  X  X  0  0  0  X  0  0  0  0  X  0  X  0  X  X  X  0  X  0  0  X  X  0  X  0  X  0  0  0  X  X  X  X  X  X  0  0  0  0  0  0  0  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  X  X  X  X  X  X  X  0  0  X  0  X  0  0  X  X  0  X  X  X  X  X  0  0  0  X  X  0  0  X  0  0  X  X  X  X  X  X  X  X  0  X  0  X  X  0  0  X  X  0  X  0  0  X  0  0  X  0  0  0  0  X  X  0  X  0  X  X  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  X  0  0  0  0  X  X  X  X  X  X  0  X  X  X  0  0  X  0  X  0  0  0  0  X  X  X  X  X  X  0  0  0  0  X  X  0  X  X  X  0  0  X  0  0  X  0  X  X  0  0  0  0  0  0  X  0  0  0  0  0  X  0  X  X  0  0  0  X  0  X  0  X  0  X  0  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  X  0  0  X  X  X  X  X  X  0  X  X  X  0  0  0  0  0  X  0  0  X  0  X  0  0  X  X  X  0  0  X  X  X  0  X  0  X  X  X  X  0  0  X  0  0  X  X  X  0  X  X  X  X  0  X  X  0  0  0  X  0  X  X  X  0  X  0  X  0  X  X  X  X  X  X  X  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  0  X  X  0  X  X  0  X  0  X  0  X  X  0  X  0  0  X  0  0  X  0  X  0  0  X  0  X  X  X  0  0  X  0  X  X  X  X  X  X  0  X  0  0  X  0  0  0  0  0  0  X  0  0  X  X  X  X  0  X  0  X  0  X  0  X  X  0  0  X  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  0  X  X  X  X  0  X  X  0  0  X  0  X  0  0  X  X  X  X  0  X  0  0  0  X  X  X  0  0  X  X  X  0  X  X  X  X  X  X  0  0  X  X  0  X  X  0  0  X  0  X  0  0  0  X  0  X  X  X  X  0  0  0  X  X  0  0  0  X  0  0  X  0  0  0
 0  0  0  0  0  0  0  0  0  X  0  0  0  X  0  0  0  0  0  X  X  0  X  0  0  0  X  X  X  0  0  X  X  X  0  0  0  X  X  X  0  0  X  X  X  0  0  0  X  X  X  0  0  X  X  X  0  X  0  X  X  X  X  X  0  0  0  X  X  0  0  X  0  0  X  0  0  X  X  0  X  0  X  0  X  0  X  X  X  X  0  0  0
 0  0  0  0  0  0  0  0  0  0  X  0  0  X  0  0  0  0  X  0  0  X  0  X  0  0  X  X  X  X  X  0  0  0  X  X  0  0  0  X  X  0  X  X  0  X  0  0  X  X  0  0  0  X  0  X  X  0  X  0  X  X  X  X  X  X  0  X  X  0  X  0  X  0  0  X  X  X  X  X  X  0  X  0  X  0  X  X  0  X  X  X  0
 0  0  0  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  X  0  0  0  X  0  0  X  X  X  X  0  X  0  0  0  X  0  X  0  0  0  0  X  0  X  X  X  0  X  0  0  X  X  X  X  0  X  0  0  X  0  X  X  0  0  X  0  X  X  X  X  X  X  0  X  0  X  X  0  0  X  X  X  0  0  0  0  0  X  X  X  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  0  X  X  X  X  X  0  X  0  X  0  0  X  X  0  X  X  X  0  X  X  X  0  0  X  X  X  X  X  X  X  0  0  0  X  X  0  0  0  0  0  0  0  0  0  X  0  X  X  0  0  0  0  0  X  0  0  0  0  0  X  0  X  X  0  X  X  0  X  0  0  X  X  0

generates a code of length 93 over Z2[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+101x^72+56x^74+256x^76+197x^78+436x^80+347x^82+557x^84+80x^85+448x^86+400x^87+578x^88+960x^89+535x^90+1600x^91+578x^92+2016x^93+590x^94+1760x^95+550x^96+960x^97+584x^98+320x^99+487x^100+80x^101+551x^102+16x^103+314x^104+440x^106+153x^108+229x^110+65x^112+85x^114+16x^116+32x^118+3x^120+1x^122+1x^124+1x^166

The gray image is a linear code over GF(2) with n=186, k=14 and d=72.
This code was found by Heurico 1.16 in 97.6 seconds.