The generator matrix

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

generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+195x^66+255x^68+303x^70+258x^72+287x^74+154x^76+168x^78+116x^80+122x^82+86x^84+60x^86+21x^88+16x^90+5x^92+1x^94

The gray image is a linear code over GF(2) with n=148, k=11 and d=66.
This code was found by Heurico 1.10 in 1.58 seconds.