The generator matrix

 1  0  0  0  0  1  1  1  1  1  X  1  0  1  1  0  X  1  1  0  1  1  X  0  1  X  0  1  0  1  0  X  1  0  X  X  X  1  0  0  1  0  X  0  1  1  0  X  1  1  0  X  0  1  0  1  0  1  X  X  1  1  1  0  1  1  1  X  X  0  1  X  0  1  X  X
 0  1  0  0  0  0  0  0  0  0  X  0  X  X X+1  1  1  1 X+1  1 X+1  1  1  X  1  1  X  X  1  X  0  1  X  1  0  1  0  1  1  0  X  X  1  1  X  X  1  X  X  1  1  1  X X+1  1  0  1  X  1  1 X+1  X X+1  1 X+1  1  X  1  X  0  1  1  X  1  X  0
 0  0  1  0  0  0  1  0  X X+1  1 X+1  1  1  0 X+1  0  X X+1 X+1  1  X X+1  1  1  X  0  X X+1  1  1  0 X+1  0  X  X  1  X X+1  1  0  X  1  X  1  X  1  X  1  0 X+1  0  1  0  X  0  0 X+1  0  X  1  X  0  X X+1  0  1  1  1  1  1 X+1  0  0  0  X
 0  0  0  1  0  1  1  X  1  0  1  X  0 X+1  1  X  X  X  1  1 X+1 X+1  0  1  0  X  1  0 X+1  1 X+1 X+1 X+1 X+1  1  X  0  0 X+1  X  0  1 X+1 X+1  X X+1  0  X  0  X X+1  X  0  0  X X+1  X  0  X  1  0  1  0  1  X  0  X  1  X X+1  0  0  X  0  1  1
 0  0  0  0  1  1  0  1  0  X  0 X+1  1 X+1 X+1  0 X+1  1  0  X  1  X  1  0  1  X X+1  X  1  1 X+1  1  X  X  1 X+1 X+1 X+1 X+1  X  1  0  0 X+1  1  X  X  1  X  0 X+1  0  X  X X+1  1  1 X+1  X  0 X+1  0  X  1  1 X+1  1  0  X  0  X  X  1  X  0 X+1
 0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  0  X  0  0  X  0  X  X  X  0  X  X  0  X  X  X  X  X  X  X  X  X  0  X  X  0
 0  0  0  0  0  0  X  0  0  0  X  X  X  0  0  X  X  X  X  X  0  0  0  0  X  X  0  X  X  X  X  X  X  X  X  X  X  0  X  0  X  X  0  0  0  0  0  0  0  0  0  X  0  0  X  X  0  0  0  X  0  0  X  X  X  X  X  X  X  X  X  X  X  X  0  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+179x^66+362x^68+434x^70+477x^72+494x^74+488x^76+359x^78+369x^80+311x^82+276x^84+164x^86+129x^88+32x^90+10x^92+11x^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 2.87 seconds.