The generator matrix

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

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+18x^25+48x^26+34x^27+30x^28+54x^29+73x^30+46x^31+19x^32+46x^33+54x^34+46x^35+8x^36+10x^37+12x^38+2x^39+4x^40+2x^42+2x^44+3x^46

The gray image is a linear code over GF(2) with n=62, k=9 and d=25.
This code was found by Heurico 1.16 in 0.016 seconds.