The generator matrix

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

generates a code of length 31 over Z2[X]/(X^2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+42x^25+87x^26+90x^27+81x^28+94x^29+108x^30+94x^31+84x^32+78x^33+62x^34+54x^35+51x^36+34x^37+28x^38+18x^39+7x^40+8x^41+3x^42

The gray image is a linear code over GF(2) with n=62, k=10 and d=25.
This code was found by Heurico 1.16 in 0.108 seconds.