The generator matrix

1 0 1 0 1 0 1 0 X 1 1 X 1 1 1 0 0 1 X X X 1 1 0 0 0 1 0 1 1 1
0 X 0 1 X+1 1 1 1 X 0 X+1 X X 1 1 1 X X X 1 1 1 X 0 1 0 X 1 X X+1 X+1
0 1 X+1 0 X+1 X+1 X 0 1 X 1 X 1 1 1 1 1 X X 0 X 0 X X X+1 1 X+1 X+1 1 X 1
0 0 0 0 0 X 0 1 X+1 X+1 1 X X X+1 0 X+1 0 1 1 X X+1 X+1 0 1 X X+1 1 0 1 X 1
0 0 0 0 X X 0 X+1 1 X+1 1 1 1 X 1 0 X+1 X 1 X+1 0 X 1 0 X+1 1 0 X+1 X+1 X+1 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+48x^25+67x^26+84x^27+119x^28+114x^29+90x^30+60x^31+79x^32+68x^33+73x^34+84x^35+47x^36+34x^37+24x^38+12x^39+10x^40+8x^41+2x^42

The gray image is a linear code over GF(2) with n=62, k=10 and d=25.
This code was found by an older version of Heurico in 0 seconds.