The generator matrix

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

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+82x^61+197x^62+260x^63+410x^64+490x^65+573x^66+676x^67+647x^68+782x^69+873x^70+872x^71+934x^72+916x^73+1001x^74+956x^75+848x^76+976x^77+870x^78+784x^79+726x^80+576x^81+509x^82+430x^83+345x^84+228x^85+187x^86+106x^87+56x^88+42x^89+12x^90+10x^91+4x^93+1x^94+2x^95+1x^96+1x^122

The gray image is a linear code over GF(2) with n=148, k=14 and d=61.
This code was found by Heurico 1.16 in 93 seconds.