The generator matrix

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

generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+92x^60+68x^61+189x^62+268x^63+404x^64+414x^65+501x^66+606x^67+731x^68+752x^69+792x^70+932x^71+870x^72+1028x^73+1003x^74+1024x^75+923x^76+980x^77+875x^78+836x^79+688x^80+630x^81+533x^82+334x^83+257x^84+200x^85+152x^86+92x^87+106x^88+24x^89+41x^90+4x^91+13x^92+7x^94+11x^96+2x^98+1x^110

The gray image is a linear code over GF(2) with n=148, k=14 and d=60.
This code was found by Heurico 1.16 in 42.6 seconds.