The generator matrix
1 0 0 0 0 1 1 1 0 1 1 X 1 0 1 0 0 1 X 1 1 X 0 X 1 1 X 1 X X 1 0 1 1 1 X 1 0 X 1 0 1 1 1 1 1 1 0 0 0 X 1 X X 1 X 1 0 1 1 0 1 X 1 1 1 1 1 X 0 1 0 1
0 1 0 0 0 0 0 0 0 1 1 1 1 1 X+1 X 1 1 1 1 X 0 1 0 X 0 1 X+1 0 X X+1 1 X X 1 1 0 1 1 1 X X 1 1 0 X+1 X+1 X X 0 1 X 1 1 X X X+1 1 X+1 1 X 1 X X+1 X X+1 1 X 1 X 1 1 0
0 0 1 0 0 0 1 1 1 1 X+1 0 0 X+1 X 0 X+1 1 X X+1 0 1 X 1 0 X+1 X+1 0 1 1 X+1 0 X+1 X+1 0 1 X X+1 X 0 X X+1 X X 1 1 0 1 1 0 X 1 X X+1 0 X X 1 0 X+1 X 0 1 0 X 1 1 1 X+1 1 X+1 1 0
0 0 0 1 0 1 1 0 1 X X+1 1 0 1 1 X X X X+1 1 1 X+1 X X 0 1 0 0 1 0 1 X+1 0 0 1 X+1 0 0 X+1 X 0 X X+1 X 0 1 0 1 0 1 0 X+1 0 1 X 1 X+1 X X+1 X+1 1 X 0 X 0 X 0 X+1 0 X+1 0 X+1 X+1
0 0 0 0 1 1 0 1 X+1 X X+1 X+1 1 X 0 1 1 0 X+1 1 X+1 1 X 0 0 X+1 1 1 X 1 X 0 1 X 1 X 0 0 0 X 1 0 1 1 1 X+1 0 X 1 X 1 X+1 1 0 0 X+1 0 X+1 1 0 X 0 X+1 1 X+1 1 X+1 0 1 0 1 X 1
0 0 0 0 0 X 0 0 X 0 X X X X 0 X 0 X 0 0 0 0 X X X X X X 0 X 0 X X X 0 0 0 X X 0 0 0 X 0 X X 0 X X X 0 X 0 0 X 0 X X X 0 X X 0 X X X 0 X X X 0 X 0
0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X 0 0 X 0 0 X X 0 0 X X 0 X X 0 X 0 X X X 0 0 X X X 0 0 X X 0 0 X 0 0 X 0 X X X 0 0 0 0 0 X X X 0 X 0 0 X X X
0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X X X X X 0 X 0 0 0 X X X X X 0 X 0 0 X X X X 0 X 0
generates a code of length 73 over Z2[X]/(X^2) who´s minimum homogenous weight is 61.
Homogenous weight enumerator: w(x)=1x^0+44x^61+133x^62+214x^63+308x^64+286x^65+338x^66+356x^67+366x^68+476x^69+444x^70+462x^71+502x^72+472x^73+467x^74+454x^75+436x^76+444x^77+393x^78+366x^79+293x^80+254x^81+196x^82+164x^83+114x^84+60x^85+59x^86+30x^87+24x^88+12x^89+15x^90+2x^91+4x^92+2x^94+1x^102
The gray image is a linear code over GF(2) with n=146, k=13 and d=61.
This code was found by Heurico 1.16 in 11.7 seconds.