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.