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

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+45x^32+8x^33+49x^34+32x^35+18x^36+56x^37+12x^38+64x^39+32x^40+56x^41+38x^42+32x^43+12x^44+8x^45+17x^46+18x^48+9x^50+2x^52+2x^54+1x^62

The gray image is a linear code over GF(2) with n=78, k=9 and d=32.
This code was found by Heurico 1.16 in 0.031 seconds.