The generator matrix

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

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+52x^66+82x^67+93x^68+104x^69+80x^70+90x^71+73x^72+68x^73+57x^74+32x^75+45x^76+44x^77+29x^78+26x^79+20x^80+28x^81+23x^82+18x^83+18x^84+6x^85+10x^86+8x^87+2x^88+4x^89+4x^90+4x^92+2x^93+1x^102

The gray image is a linear code over GF(2) with n=146, k=10 and d=66.
This code was found by Heurico 1.10 in 0.078 seconds.