The generator matrix

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

generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+167x^66+294x^68+309x^70+280x^72+205x^74+189x^76+165x^78+150x^80+108x^82+81x^84+54x^86+21x^88+12x^90+8x^92+4x^94

The gray image is a linear code over GF(2) with n=148, k=11 and d=66.
This code was found by Heurico 1.16 in 0.752 seconds.