The generator matrix

 1  0  0  1  1  1  X  0  1  1  1  1  1  0  X  1  1  1  1  0  1  0  1  0  X  X  1  1  1  0  1
 0  1  0  0  1  1  1  1  0 X+1  X  1  0  X  1  0  0  X  1  X  0  1  X  0  X  1  0 X+1  1  1 X+1
 0  0  1  1  1  0  1  X  0  0 X+1  1  X  1  1  X  X  0  0  1 X+1  0  X  1  1 X+1  X  1  1 X+1  0
 0  0  0  X  0  0  0  X  X  0  X  X  X  X  0  0  0  X  X  0  0  X  X  X  0  0  0  X  0  0  0
 0  0  0  0  X  0  0  X  X  X  X  X  0  X  X  X  X  0  X  X  0  0  0  X  X  0  0  0  X  X  X
 0  0  0  0  0  X  0  0  0  0  X  X  X  0  X  X  0  0  X  X  0  0  X  X  0  X  0  X  X  0  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+32x^26+68x^27+62x^28+44x^29+52x^30+64x^31+31x^32+24x^33+26x^34+20x^35+30x^36+28x^37+16x^38+8x^39+4x^40+2x^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 0.016 seconds.