The generator matrix

1 0 0 0 1 1 1 1 0 X 1 0 1 X 1 1 X 1 0 0 1 X 0 1 X 0 1 X X 0 1
0 1 0 0 0 0 1 1 1 0 X 1 1 1 X+1 X X X+1 0 1 X+1 1 0 X 1 1 0 0 X 1 1
0 0 1 0 1 0 X X+1 1 1 1 0 X+1 1 X 1 1 X 1 1 1 X+1 X X+1 0 1 0 1 1 1 1
0 0 0 1 1 X+1 X+1 1 X 1 0 0 0 X 0 1 X+1 X 0 1 X+1 X 1 X 0 X+1 X 0 1 X 1
0 0 0 0 X X X X 0 0 X X 0 X 0 0 X X X X X X X 0 0 0 0 X 0 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+54x^26+128x^28+109x^30+73x^32+71x^34+36x^36+19x^38+18x^40+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 1.10 in 0 seconds.