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

generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+52x^62+124x^63+191x^64+248x^65+341x^66+404x^67+406x^68+390x^69+401x^70+442x^71+476x^72+460x^73+446x^74+496x^75+437x^76+452x^77+438x^78+366x^79+347x^80+308x^81+247x^82+198x^83+147x^84+110x^85+110x^86+76x^87+37x^88+16x^89+9x^90+6x^91+6x^92+3x^94+1x^98

The gray image is a linear code over GF(2) with n=148, k=13 and d=62.
This code was found by Heurico 1.10 in 3.58 seconds.