The generator matrix
1 0 1 1 1 0 1 1 0 1 1 0 X 1 1 1 1 0 1 X 1 1 1 0 1 1 0 1 X 1 1 1 1 0 X 1 1 1 1 1 X X 1 1 X 1 1 X 1 X 0 1 1 X X 1 X 0 0 0 1 1 X 1 X 1 1 X 1 1 1 X 1
0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 0 X+1 1 X+1 1 X 0 X+1 1 X+1 0 1 0 1 X+1 0 X+1 1 1 1 X X X 0 0 1 1 0 X 1 0 0 1 0 1 X 1 X 1 1 X+1 1 1 1 0 1 X 1 X+1 1 X X 0 X X X 0 0
0 0 X 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 0 0 X X X X 0 0 X X X 0 X X 0 X 0 0 0 X 0 0 0 0 0 0 X X X 0 X 0 X 0 0 0 X X X 0 X 0 X X X X X X X 0 X X 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 X 0 X X 0 0 0 X X X 0 X X 0 X X X X 0 0 X 0 X X X 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 0
0 0 0 0 X 0 0 0 0 0 X X X X 0 X X X X X 0 X X X 0 X 0 X X 0 X X X 0 0 0 X X X X 0 X 0 0 X 0 0 0 X X X 0 0 X 0 X X X X X 0 0 0 X 0 0 X X X 0 0 0 0
0 0 0 0 0 X 0 0 X 0 0 X 0 X 0 X 0 X 0 0 0 X X X X 0 X 0 X X 0 0 0 X X X 0 X 0 0 0 X X 0 X 0 0 0 X X X X X X 0 0 0 0 X 0 0 0 X X 0 X X X X X 0 0 0
0 0 0 0 0 0 X 0 X X 0 0 X X 0 0 X 0 X 0 X X X X 0 0 0 0 X X X 0 X X 0 0 0 0 X X 0 X X 0 X X X 0 0 0 0 X X X 0 X 0 0 X X X X X X 0 0 0 X X X X X 0
0 0 0 0 0 0 0 X X 0 X 0 X X X 0 0 X 0 X X X 0 X X X 0 0 X X X X 0 X 0 0 X 0 X X 0 0 X X X 0 X X X X X X X 0 X X 0 X X 0 0 X 0 0 0 0 0 0 X 0 0 X 0
generates a code of length 73 over Z2[X]/(X^2) who´s minimum homogenous weight is 64.
Homogenous weight enumerator: w(x)=1x^0+41x^64+28x^65+56x^66+66x^67+57x^68+72x^69+68x^70+76x^71+59x^72+64x^73+59x^74+48x^75+39x^76+56x^77+41x^78+52x^79+32x^80+36x^81+12x^82+14x^83+23x^84+10x^86+3x^88+4x^90+1x^92+1x^94+4x^98+1x^106
The gray image is a linear code over GF(2) with n=146, k=10 and d=64.
This code was found by Heurico 1.16 in 0.263 seconds.