The generator matrix
1 0 0 1 1 1 0 1 1 1 1 0 X 1 0 X 1 X 1 0 1 0 1 1 X 1 1 X X 1 1 1 X 1 1 0 1 0 1 1 X 1 1 1 1 X 1 X 1 1 0 X 1 1 0 1 0 1 1 0 1 X 1 0 1 1 1 0 0 1 1 X X 1
0 1 0 0 1 1 1 0 0 1 X+1 1 1 X 0 1 X 1 1 0 X+1 0 X+1 1 1 X X 1 1 X+1 1 X 0 0 0 1 X+1 1 X 1 1 0 0 1 X 1 0 0 X+1 0 X 1 0 X+1 1 X+1 1 X 1 1 1 X X 0 1 0 1 1 0 X+1 0 1 1 1
0 0 1 1 1 0 1 0 1 X+1 0 X X+1 X 1 X X+1 1 1 1 X 1 X+1 X X 0 X+1 1 X 0 X X+1 1 0 X X+1 0 X 1 0 X+1 0 0 X+1 X+1 X+1 1 1 X 1 1 X+1 1 1 1 X 0 1 X+1 X+1 X 1 1 1 X+1 X+1 1 X 1 1 X 0 X+1 X
0 0 0 X 0 0 0 0 0 X X 0 0 X X X X X X 0 X X X 0 0 0 0 X 0 0 0 X 0 0 0 0 X X X 0 X X X 0 X X 0 0 0 X 0 0 X X X X X X 0 0 0 X 0 X X X 0 X 0 0 X 0 0 X
0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X X X X X X X X X 0 X 0 X X 0 0 X X 0 X 0 X X 0 X X 0 0 X X X X X X X X X X 0 0 0 X 0 X X X 0
0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X X 0 0 0 0 0 X 0 0 X X X X X X X X X X X X X X 0 X 0 X X X 0 0 X X 0 0 X X 0 X X 0 X X X
0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X 0 X X X X 0 X 0 X X 0 0 X 0 X 0 X 0 0 0 X X 0 0 0 X 0 X 0 X 0 X 0 0 X X 0 X 0 0 X X X 0 0 X 0 X X X X 0 X X 0 0 0
0 0 0 0 0 0 0 X 0 0 0 X X X 0 0 0 0 X 0 X X X X 0 X 0 0 0 X 0 X 0 X X 0 0 X 0 X 0 X 0 X 0 X 0 0 X X X 0 0 X X 0 0 X 0 X X X 0 X 0 X 0 X 0 X X X X X
0 0 0 0 0 0 0 0 X X X 0 0 X X X 0 X X X X 0 0 X X X X X 0 0 X X X X 0 X 0 0 X 0 X X 0 X X X X 0 X X 0 0 0 0 X 0 0 X X 0 X 0 0 X 0 X 0 0 X X X X 0 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+200x^64+280x^66+517x^68+414x^70+520x^72+434x^74+449x^76+368x^78+372x^80+224x^82+171x^84+66x^86+56x^88+6x^90+15x^92+3x^96
The gray image is a linear code over GF(2) with n=148, k=12 and d=64.
This code was found by Heurico 1.16 in 5.5 seconds.