The generator matrix

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

generates a code of length 81 over Z2[X]/(X^2) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+104x^74+201x^76+167x^78+132x^80+105x^82+79x^84+71x^86+48x^88+43x^90+33x^92+4x^94+15x^96+12x^98+3x^100+6x^102

The gray image is a linear code over GF(2) with n=162, k=10 and d=74.
This code was found by Heurico 1.16 in 0.287 seconds.