The generator matrix

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

generates a code of length 73 over Z2[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+77x^66+196x^68+185x^70+150x^72+111x^74+110x^76+39x^78+43x^80+30x^82+32x^84+24x^86+10x^88+14x^90+2x^92

The gray image is a linear code over GF(2) with n=146, k=10 and d=66.
This code was found by Heurico 1.16 in 0.236 seconds.