The generator matrix

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

generates a code of length 31 over Z2[X]/(X^2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+26x^26+62x^27+67x^28+68x^29+43x^30+34x^31+52x^32+36x^33+31x^34+26x^35+13x^36+20x^37+9x^38+6x^39+11x^40+4x^41+3x^42

The gray image is a linear code over GF(2) with n=62, k=9 and d=26.
This code was found by Heurico 1.16 in 0.0171 seconds.