The generator matrix
1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 X 1
0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 0 X+1 1 0 X 1 X+1 X+1 1 0 1 0 X+1 X+1 1 0 0
0 0 X 0 0 0 0 0 0 0 X 0 0 0 X 0 0 X X X X X X X 0 0 X X 0 0 X 0
0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X X X X 0 X X 0 0 X X 0 0 0 X 0 0
0 0 0 0 X 0 0 0 0 0 X 0 X 0 0 X X X 0 0 X 0 X X X 0 0 X X X 0 X
0 0 0 0 0 X 0 0 0 0 0 X X 0 0 X 0 0 X X X 0 0 0 X X 0 X X X 0 0
0 0 0 0 0 0 X 0 0 X 0 0 0 X 0 0 X 0 X X 0 X X 0 0 X X X 0 X 0 X
0 0 0 0 0 0 0 X 0 0 X 0 X X X X 0 0 0 0 X X 0 X 0 X X X 0 X 0 0
0 0 0 0 0 0 0 0 X 0 0 X X X X 0 X 0 0 X X 0 X X X X X 0 0 X 0 X
generates a code of length 32 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.
Homogenous weight enumerator: w(x)=1x^0+59x^24+42x^25+87x^26+76x^27+129x^28+156x^29+175x^30+252x^31+169x^32+208x^33+134x^34+164x^35+122x^36+100x^37+78x^38+20x^39+27x^40+6x^41+35x^42+5x^44+3x^46
The gray image is a linear code over GF(2) with n=64, k=11 and d=24.
This code was found by Heurico 1.16 in 0.244 seconds.