The generator matrix

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

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+162x^66+338x^68+486x^70+511x^72+480x^74+448x^76+362x^78+371x^80+330x^82+254x^84+170x^86+109x^88+52x^90+16x^92+6x^94

The gray image is a linear code over GF(2) with n=152, k=12 and d=66.
This code was found by Heurico 1.10 in 1 seconds.