The generator matrix
1 0 1 1 1 0 1 1 0 1 1 0 X 1 1 1 1 0 1 1 0 1 0 1 1 1 X 1 0 1 1
0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 0 X+1 1 X+1 0 1 0 1 X+1 X+1 X+1 0 X 1 1 X+1
0 0 X 0 0 0 0 0 0 0 X 0 0 X X X X X X X X 0 X 0 0 0 0 0 0 X 0
0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X 0 X X X X X X X 0 X X X X 0 0
0 0 0 0 X 0 0 0 0 0 X X X X 0 0 X 0 X 0 X 0 0 X X X 0 X 0 0 0
0 0 0 0 0 X 0 0 X 0 0 X 0 X 0 X X X X 0 0 X X X X 0 0 0 0 0 X
0 0 0 0 0 0 X 0 X X 0 0 X X 0 0 0 X 0 X 0 0 X 0 0 X X 0 X X 0
0 0 0 0 0 0 0 X X 0 X 0 X X X 0 X X 0 0 0 0 0 X X 0 X 0 0 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+39x^24+28x^25+75x^26+76x^27+69x^28+92x^29+79x^30+108x^31+79x^32+116x^33+72x^34+68x^35+48x^36+20x^37+24x^38+4x^39+17x^40+5x^42+3x^44+1x^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 0.0622 seconds.