The generator matrix

 1  0  0  0  1  1  1  X  0  0  0  1  1  1  1  1  X  0  1  X  1  0  1  1  0  1  1  1  0  X  1  0  1  0  1  X  0  1  X  X  1  0  1  X  0  1  1  0  1  X  1  1  1  1  1  0  X  1  X  0  1  X  0  X  X  X  1  0  X  X  0  0  1  X
 0  1  0  0  0  0  0  0  1  1  1  1 X+1  1  1  X  1  X X+1  1  X  0  0  0  1  X X+1  X  0  1  1  1  1  X  1  0  1  1  1  0  1  X  0  X  1  0  X  X X+1  1 X+1 X+1 X+1  X  1  1  1  0  1  1  1  0  X  1  0  1  1  1  1  1  X  1 X+1  0
 0  0  1  0  0  1  1  1  X  1 X+1  1  1  X  0 X+1  X  0 X+1  1 X+1  1  1  X  1  X  0  0  1  0  X  X X+1  0 X+1  1 X+1  1  1  1  0  X X+1  1  0  0 X+1  1  X  0  X  1  1  1  1  0  1  0  1  X  0  1  1  X  1  X  1  X  0  X  1  X  1  1
 0  0  0  1  1  1  0  1  1 X+1  X  0  1 X+1  X  X  1  1  X  X  0  0 X+1 X+1 X+1  0 X+1 X+1  1  X  X  1  1  1  0  0  0  1  1 X+1  1  1 X+1  1 X+1  X X+1  X  0  X  0  1  1 X+1  0 X+1  0  0 X+1  X  0  1  X X+1  X  0  0  0 X+1  X  0  X X+1 X+1
 0  0  0  0  X  0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  0  X  X  X  0  X  X  0  X  X  0  X  X  X  0  X  0  X  0  0  X  0  0  X  X  0  0  X  X  0  X  0  X  0  X  0  0  0  X  X  X  X  0  0  X  0  X  X  0  0  X  0  X  X
 0  0  0  0  0  X  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  0  0  0  X  X  0  X  0  0  X  X  X  X  0  X  X  X  0  X  0  X  0  X  X  0  X  X  X  0  X  0  0  X  X  0  0  X  0  0  X  X
 0  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  0  0  X  X  X  X  X  X  X  X  X  X  X  X  X  X  0  X  X  X  X  X  X  X  X  0  X  X  X  X  X  0  X  0  X  0  X  0  X  X  X  0  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+183x^66+268x^68+286x^70+309x^72+205x^74+222x^76+172x^78+104x^80+105x^82+88x^84+59x^86+25x^88+11x^90+6x^92+2x^94+1x^96+1x^102

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 17.5 seconds.