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

generates a code of length 94 over Z2[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+91x^72+320x^76+663x^80+12x^82+953x^84+242x^86+1537x^88+976x^90+2523x^92+1630x^94+2660x^96+988x^98+1632x^100+238x^102+901x^104+8x^106+534x^108+2x^110+323x^112+111x^116+31x^120+6x^124+1x^128+1x^156

The gray image is a linear code over GF(2) with n=188, k=14 and d=72.
This code was found by Heurico 1.16 in 97.3 seconds.