The generator matrix

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

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+63x^24+106x^25+117x^26+132x^27+174x^28+190x^29+169x^30+184x^31+171x^32+166x^33+154x^34+164x^35+90x^36+50x^37+62x^38+32x^39+13x^40+9x^42+1x^46

The gray image is a linear code over GF(2) with n=62, k=11 and d=24.
This code was found by Heurico 1.16 in 0.202 seconds.