The generator matrix

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

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+72x^26+107x^28+85x^30+88x^32+87x^34+55x^36+5x^38+3x^40+5x^42+2x^44+2x^46

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 14.7 seconds.