The generator matrix
1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 1 0 1 X 1 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 X 1 1 X X 1 X 1 0 1 1 X 1 1 0 1 1 0 0 0 1 X 1 1 1 X X 1 1 1 1 1 1
0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 X+1 0 1 X+1 1 X X+1 0 1 0 X+1 1 0 0 X+1 1 1 0 1 X+1 X+1 X 1 X+1 X 1 X+1 X+1 1 X+1 X 1 1 1 1 0 1 0 0 1 X X 1 0 X+1 1 1 1 1 1 1 X X+1 1 1 0 X+1 1 X+1 X X+1
0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X 0 X X 0 0 X X 0 0 X X 0 X X X X X X X 0 0 0 X X X 0 X X X X X 0 0 0 0 0 0 X X 0 0 X X X 0 0 0 0 X 0 X X 0
0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X 0 0 X X X X X 0 X X X X 0 X 0 0 X X 0 0 X 0 X X X X X X X X 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X 0 X 0 0 X X 0 0 X X
0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X X 0 X X 0 X X X 0 0 X X X X X 0 0 0 0 0 0 0 0 X 0 0 X X 0 X X X 0 X 0 X X X 0 0 0 X 0 X 0 0 0 0 0 X X 0 0 X 0 0 0 0
0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 X X X X X X 0 0 0 0 X X 0 X X 0 0 0 0 0 X X X 0 0 0 0 X 0 X X X 0 X X 0 0 0 0 0 0 X X X X 0 0 0 X 0 0 X X 0 0 X X X X X
0 0 0 0 0 0 X 0 0 X 0 0 X X 0 X X X 0 X 0 X X 0 0 0 0 X X X 0 X 0 0 0 X 0 X X 0 0 X X 0 0 0 X 0 0 0 X X 0 X X X 0 0 X 0 0 X X X 0 X 0 X X X 0 0 X X 0 X
0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X X X 0 0 0 0 X 0 X 0 X 0 X X 0 X X 0 0 X X X 0 0 X 0 0 X 0 X X X X X 0 X 0 0 0 X X 0 X X X 0 0 X X 0 X 0 X 0 X 0 X X
0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X X 0 X X 0 0 X 0 X 0 0 X X X 0 0 X X 0 0 0 X X X 0 X X 0 0 0 0 0 X X X X 0 X 0 X 0 X 0 0 0 0 0 0 0 0 X X X X 0 X X 0 0
generates a code of length 76 over Z2[X]/(X^2) who´s minimum homogenous weight is 66.
Homogenous weight enumerator: w(x)=1x^0+80x^66+158x^68+212x^70+251x^72+245x^74+247x^76+223x^78+212x^80+178x^82+122x^84+59x^86+16x^88+13x^90+7x^92+9x^94+7x^96+4x^98+2x^100+1x^102+1x^104
The gray image is a linear code over GF(2) with n=152, k=11 and d=66.
This code was found by Heurico 1.16 in 0.949 seconds.