The generator matrix

1 0 0 0 0 1 1 1 X 1 1 1 1 0 X 0 1 0 1 1 X 0 X 1 1 1 1 X 0 1 1 1 1 X X 1 1 0 1
0 1 0 0 0 0 0 0 0 0 0 X X 1 1 1 1 1 X+1 X+1 X 1 1 X 1 X X 0 1 0 1 X+1 X+1 0 X X X+1 0 0
0 0 1 0 0 0 1 1 1 0 X 1 X+1 1 1 X 0 X 1 1 1 X+1 0 1 1 X+1 X 0 1 X 1 1 0 1 0 X 1 1 X+1
0 0 0 1 0 1 0 X+1 1 1 X 0 1 X 0 0 1 X+1 1 X+1 1 X 0 X X 1 X+1 1 1 0 1 0 0 X+1 X 0 1 X X
0 0 0 0 1 1 X+1 X 1 X 1 0 X+1 1 X X+1 1 X+1 X 1 0 X+1 X X 0 X+1 0 0 0 0 X+1 0 1 X 1 1 0 X+1 0
0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 X X X X X X 0 X 0 X X 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+146x^32+276x^34+353x^36+284x^38+296x^40+260x^42+240x^44+132x^46+45x^48+8x^50+7x^52

The gray image is a linear code over GF(2) with n=78, k=11 and d=32.
This code was found by Heurico 1.10 in 0.11 seconds.