The generator matrix

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

generates a code of length 81 over Z2[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+57x^66+179x^68+235x^70+402x^72+644x^74+721x^76+876x^78+1002x^80+1027x^82+930x^84+695x^86+551x^88+384x^90+211x^92+118x^94+67x^96+46x^98+21x^100+12x^102+9x^104+2x^106+2x^108

The gray image is a linear code over GF(2) with n=162, k=13 and d=66.
This code was found by Heurico 1.16 in 16 seconds.