The generator matrix

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

generates a code of length 73 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+131x^60+626x^62+884x^64+1294x^66+1533x^68+1868x^70+1881x^72+1924x^74+1780x^76+1642x^78+1215x^80+846x^82+445x^84+232x^86+59x^88+16x^90+6x^92+1x^124

The gray image is a linear code over GF(2) with n=146, k=14 and d=60.
This code was found by Heurico 1.10 in 13.3 seconds.