The generator matrix

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

generates a code of length 39 over Z2[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+25x^32+16x^34+64x^37+37x^38+16x^40+64x^41+16x^44+6x^48+10x^54+1x^70

The gray image is a linear code over GF(2) with n=78, k=8 and d=32.
This code was found by Heurico 1.16 in 0.016 seconds.