The generator matrix

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

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+96x^74+192x^76+188x^78+136x^80+102x^82+78x^84+72x^86+52x^88+26x^90+30x^92+20x^94+17x^96+6x^98+4x^100+2x^104+2x^106

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 0.258 seconds.