The generator matrix

1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 0 X 0 0 0 0 0 1 0 X X 1 0 1 1 1 1 0 1 0 X 0 0 X 0 X 1 1 X 0 X 1 1 0 1 X 1 1 1 0 0 0 X 1 1 0 X X X 1 X 0 X 1 1 X 1
0 X+1 1 X X X+1 1 X X+1 X+1 0 0 X+1 X 0 0 0 0 1 1 X 1 1 1 X 1 1 0 1 X 1 X+1 1 0 X 0 1 1 1 0 1 1 X 0 0 1 X X+1 1 X 1 X 1 X+1 X 0 X X X X 0 1 X 1 1 X+1 1 1 X X+1 X 0 0
0 0 1 1 X+1 0 X+1 X 1 0 1 X X+1 X X 1 1 X 0 X+1 1 X+1 0 0 1 X 1 X+1 X+1 1 X+1 0 X+1 1 1 1 1 X+1 0 0 X X+1 X X X 1 0 X X+1 1 X 1 X+1 X 1 1 1 1 1 X X X 0 0 0 0 X X+1 1 1 X 0 0
0 0 0 0 X X X X X X 0 X X 0 X 0 X X 0 0 X 0 0 0 0 0 0 0 0 1 X+1 X+1 X+1 X+1 X+1 1 X+1 1 1 1 X+1 0 1 1 1 1 1 X+1 X+1 1 1 X+1 X 1 X+1 1 X+1 X X X X+1 1 1 X+1 0 X X+1 0 1 1 1 X 0
0 0 0 X 1 1 X+1 1 1 1 X X 0 1 1 X X+1 0 1 X 0 X+1 0 X X+1 1 0 X+1 1 0 1 1 X 0 X+1 X 0 X+1 1 X 1 0 X+1 0 X+1 0 X 0 0 1 0 X X+1 0 1 1 0 X+1 X 0 1 X X+1 X 0 0 X 0 X+1 X+1 1 1 0
0 0 0 X X+1 X+1 X+1 1 0 0 X+1 X+1 X+1 0 X+1 X 0 1 X+1 X+1 1 X+1 X 1 X+1 0 X X 0 X X X+1 X+1 X+1 1 0 0 X 0 1 1 1 0 1 X+1 X+1 0 X+1 0 1 X X+1 X X 1 X+1 0 X X X X+1 1 0 X+1 X X 0 X 1 0 X 0 0

generates a code of length 73 over Z2[X]/(X^2) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+34x^62+52x^63+131x^64+186x^65+240x^66+216x^67+238x^68+306x^69+227x^70+228x^71+214x^72+212x^73+207x^74+214x^75+179x^76+168x^77+157x^78+194x^79+171x^80+106x^81+123x^82+94x^83+75x^84+46x^85+30x^86+22x^87+15x^88+2x^90+4x^91+4x^94

The gray image is a linear code over GF(2) with n=146, k=12 and d=62.
This code was found by an older version of Heurico in 0 seconds.