The generator matrix

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

generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+137x^64+388x^66+466x^68+428x^70+527x^72+468x^74+418x^76+356x^78+318x^80+236x^82+192x^84+88x^86+49x^88+20x^90+4x^92

The gray image is a linear code over GF(2) with n=148, k=12 and d=64.
This code was found by Heurico 1.10 in 0.953 seconds.