The generator matrix

1 1 0 X 0 1 1 0 1 X 1 0 X 1 1 X X 1 1 1 X 1 0 1 X X 1 1 1 0 0 X 1 1 1 1 0 1 0 0 1 0 1 0 0 1 1 X 1 0 X 1 X 0 1 0 0 1 0 X X X 0 1 1 1 1 0 1 0 0 1 1
0 1 X 1 X X X+1 1 X 1 X+1 X 1 X X+1 0 0 X 1 X 1 X 1 0 1 X X+1 1 X+1 0 1 0 0 0 1 X+1 1 0 X 0 X 1 X 0 0 X 0 1 X 0 0 X 1 1 0 1 1 X+1 X 1 1 0 X X 1 1 X+1 1 X 0 0 X+1 0
X X+1 1 0 1 X 1 X X+1 1 X 0 X+1 X+1 X X 1 0 X X 1 1 X+1 1 0 1 1 X+1 X 0 0 X 0 X 0 X 1 X X 1 0 X 0 1 1 X X+1 X X 0 1 X+1 1 0 X+1 X X 0 X X 1 0 1 X 0 1 1 1 1 1 1 0 0
0 1 X+1 0 X X+1 0 1 X+1 X+1 X+1 1 0 0 X X 0 X+1 1 X X+1 0 X X+1 1 1 1 X 0 0 0 1 X X+1 1 0 X+1 X 0 X 0 X 1 1 X+1 X+1 0 1 X 1 X+1 0 X X 1 X+1 X+1 X+1 X 0 1 X X 1 1 0 0 X+1 1 X X 0 1
0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 0 0 X X 0 X 0 X X X 0 0 X 0 0 1 X+1 1 X+1 X+1 X+1 1 1 X+1 X+1 1 X+1 1 1 1 1 1 1 1 X+1 X X+1 X+1 0 1 X+1 1 X 0 1 X+1 X X+1 0 X+1 X+1 X+1 X X X X
0 0 0 0 0 0 X X X+1 1 X+1 X+1 X+1 X+1 1 1 X 0 X+1 0 1 X+1 1 1 X X 0 X 1 1 0 X+1 X 0 1 1 1 0 1 X X+1 X 0 X 0 1 0 X 1 X X+1 0 0 1 0 X+1 1 X+1 X+1 X+1 X+1 X+1 X 1 0 X+1 X 0 1 X X 0 1
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 0 0 X X X 0 X 0 0 0 X 0 0 X X X 0 X 0 0 0 X X X X 0 0 0 X 0 X X 0 X X X 0 X X X X X 0 0 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+56x^61+126x^62+210x^63+248x^64+324x^65+371x^66+404x^67+381x^68+420x^69+471x^70+396x^71+496x^72+456x^73+478x^74+480x^75+409x^76+426x^77+411x^78+376x^79+317x^80+270x^81+205x^82+146x^83+109x^84+82x^85+39x^86+34x^87+18x^88+14x^89+10x^90+2x^91+4x^92+1x^94+1x^108

The gray image is a linear code over GF(2) with n=146, k=13 and d=61.
This code was found by an older version of Heurico in 0 seconds.