The generator matrix

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

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+270x^62+500x^64+782x^66+778x^68+855x^70+970x^72+929x^74+866x^76+852x^78+615x^80+371x^82+201x^84+149x^86+34x^88+13x^90+2x^92+2x^94+1x^98+1x^100

The gray image is a linear code over GF(2) with n=146, k=13 and d=62.
This code was found by Heurico 1.10 in 6.92 seconds.