The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  X  1  1  0  1  0  1  1  0  1  1  0  1  0  1  1  1  1  X  1  0  X  1  1  X  1  1  1  1  0  1  1  0  1  0  1  X  1  1  1  1  1  0  1  0  1  1  1  X  1  1  X  X  1  1  1  X  1  1  1  X  1  X  1  X  0  1  X  1  1  1  0  0  1  1
 0  1  1  0  1  1  0  1  1  0 X+1  1  X X+1  1  0  1 X+1  X  1 X+1  1  1  0  1  0 X+1  0  1  1  0  1  1 X+1  0  1 X+1  1  X  1  1  0 X+1  1  0  1  1  1  X X+1  1  0 X+1  1  1  1  X  0  X  1  1 X+1  1  1  X  X  1  1  1  X X+1  1  X  1 X+1  1  1 X+1  1  0  0  X  0  1  0  0
 0  0  X  0  0  0  0  0  0  0  X  0  0  0  0  0  X  X  0  X  X  0  0  0  X  0  X  0  X  X  X  0  X  0  X  0  X  0  X  X  0  X  X  X  0  X  0  X  X  0  0  0  0  X  0  X  0  0  X  X  X  0  0  0  0  X  X  X  0  X  0  X  0  0  0  0  0  X  X  0  X  X  X  X  0  0
 0  0  0  X  0  0  0  0  0  0  0  0  X  0  0  0  0  X  X  X  0  X  X  X  0  X  0  X  X  0  X  0  X  0  0  X  0  X  0  X  0  X  X  0  0  X  X  X  0  0  X  0  0  X  0  X  X  X  X  0  0  0  0  0  0  X  0  0  0  X  X  0  X  X  0  0  0  X  0  X  X  X  X  X  0  0
 0  0  0  0  X  0  0  0  0  0  X  0  0  0  X  0  X  X  0  0  0  X  X  X  X  X  X  0  X  0  X  0  0  X  X  0  0  X  X  0  0  X  0  0  X  0  X  0  0  X  0  0  X  X  0  X  0  X  0  X  0  0  0  0  X  X  X  0  X  X  0  0  0  0  X  0  X  X  0  0  X  0  X  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  X  0  0  X  X  X  X  X  X  X  X  0  X  X  X  X  0  0  X  X  X  0  X  0  0  X  X  X  0  0  X  X  X  X  X  0  X  X  X  0  X  X  X  X  0  0  X  X  0  X  X  0  X  X  0  X  0  0  0  X  X  X  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  X  0  X  0  0  X  X  0  X  X  X  0  0  X  0  X  X  0  0  X  0  0  X  X  X  X  0  X  X  X  X  0  X  0  X  0  X  X  0  X  0  0  0  0  0  X  0  X  X  X  0  0  0  X  0  0  0  X  0  0  X  0  X  X  X  0  0  0  0  0
 0  0  0  0  0  0  0  X  0  0  X  0  0  0  X  X  X  0  X  0  X  X  X  0  0  0  0  X  X  X  0  0  0  X  X  0  0  0  X  X  X  0  0  0  X  0  0  X  X  X  X  0  0  X  X  X  0  X  X  0  0  X  X  0  0  X  0  0  0  X  0  X  X  X  X  0  X  X  0  0  0  X  0  0  0  0
 0  0  0  0  0  0  0  0  X  0  0  X  0  X  X  0  X  X  0  X  X  X  X  0  0  0  X  0  0  X  X  0  0  0  X  X  0  0  X  0  0  0  X  X  X  0  0  0  X  X  X  X  0  X  0  0  0  X  0  0  X  X  0  X  0  0  X  X  X  0  0  X  X  0  X  X  0  X  0  X  X  0  X  X  0  0
 0  0  0  0  0  0  0  0  0  X  0  0  X  X  X  X  0  0  X  X  X  0  X  X  0  X  X  X  X  X  X  X  0  X  X  0  X  0  0  X  X  X  X  0  0  X  0  0  X  0  0  X  X  X  0  0  0  0  X  0  0  0  0  0  0  X  0  0  X  0  0  0  0  X  X  X  0  0  0  X  0  0  X  X  0  0

generates a code of length 86 over Z2[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+83x^72+38x^74+259x^76+202x^78+435x^80+316x^82+561x^84+428x^86+506x^88+310x^90+372x^92+202x^94+215x^96+40x^98+68x^100+35x^104+17x^108+5x^112+3x^116

The gray image is a linear code over GF(2) with n=172, k=12 and d=72.
This code was found by Heurico 1.16 in 4.54 seconds.