The generator matrix

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

generates a code of length 38 over Z2[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+54x^32+96x^33+87x^34+114x^35+99x^36+72x^37+83x^38+74x^39+65x^40+48x^41+47x^42+54x^43+27x^44+40x^45+37x^46+14x^47+8x^48+2x^50+2x^52

The gray image is a linear code over GF(2) with n=76, k=10 and d=32.
This code was found by Heurico 1.10 in 0.032 seconds.