The generator matrix

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

generates a code of length 31 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+41x^24+40x^25+64x^26+84x^27+77x^28+90x^29+80x^30+96x^31+73x^32+86x^33+74x^34+68x^35+58x^36+38x^37+30x^38+8x^39+5x^40+2x^41+6x^42+1x^44+2x^46

The gray image is a linear code over GF(2) with n=62, k=10 and d=24.
This code was found by Heurico 1.16 in 0.0539 seconds.