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

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+158x^66+354x^68+450x^70+535x^72+512x^74+404x^76+360x^78+391x^80+334x^82+242x^84+178x^86+97x^88+52x^90+24x^92+4x^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 1.16 in 2.79 seconds.