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

generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+102x^61+187x^62+284x^63+374x^64+494x^65+581x^66+604x^67+700x^68+764x^69+828x^70+908x^71+955x^72+950x^73+1001x^74+942x^75+956x^76+894x^77+810x^78+806x^79+704x^80+674x^81+500x^82+366x^83+339x^84+228x^85+161x^86+114x^87+65x^88+50x^89+26x^90+8x^91+1x^92+4x^93+2x^94+1x^120

The gray image is a linear code over GF(2) with n=148, k=14 and d=61.
This code was found by Heurico 1.10 in 13.7 seconds.