The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  X  X  0  1  1  1  1  0  1  X  1  1  X  X  0  0  1  0  1  1  1  X  1  X  X  0  1  0  1  1  X  1  X  X  0  1  1  0  1  1  1  X  1  X  1  1  0  0  1  1  1  X  1  X  X  X  1  1  X  1  X  X  0  0  1  1  0  1  1
 0  1  0  0  0  1  1  1  0  0 X+1 X+1  1  X  1  X X+1  0  1  1  0  1  X  0  X  1  0  1 X+1  1  1 X+1 X+1  1 X+1  1  X  X  X  X X+1  1  1  X  1  1  1 X+1  0  X  X  1  0  X X+1  1  0  0  1  0  0 X+1  0  X  0  0  1  1  X X+1  1 X+1  1  1  1  0  0 X+1  1  0  0
 0  0  1  0  1  1  0  1  0  1  1  0  0  1 X+1 X+1  X  0  1 X+1 X+1  X  0  0  1  X  0  X  0  1  X  0 X+1  1  1  X  1  1  X  X X+1  1 X+1  1  X  1 X+1  0 X+1  0  X  1 X+1  0  X X+1  0 X+1 X+1  0 X+1  X  X  1  X  1  X  1  X  1 X+1  X X+1  0  X  1 X+1  X  0  0  0
 0  0  0  1  1  0  1  1  1  0  1  X  1  1  0  X  1 X+1  X X+1  1  1  0 X+1  0  X  1  0 X+1  0  X  X  X  1  1 X+1 X+1  1  0  1  0  1  1  1  0  0  X  X  0  1  X  X X+1  1  0  0 X+1  X  1  1 X+1  1  X  0  1  1  1 X+1  1 X+1  0  X  1  X  X  0  0  1 X+1  0  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  0  X  X  0  0  X  X  X  X  X  0  0  0  X  X  0  0  0  X  X  X  0  X  X  0  X  0  0  0  0  0  X  0  X  X  X  X  X  0  0  X  X  0  0  X  X  0  0  X  X  X  X  0  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  0  X  X  0  X  X  X  0  0  X  X  X  X  X  X  0  X  0  X  X  0  X  X  0  0  0  X  0  X  X  0  0  X  0  0  0  X  0  X  0  X  X  X  0  X  0  0  0  X  0  X  X  0  0  X  X  X  X  0  0  0  X  0  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  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  0  X  X  0  X  X  0  0  X  X  0  0  X  X  X  0  X  0  X  0  0  X  0  0  X  0
 0  0  0  0  0  0  0  X  0  0  X  X  0  0  X  0  0  X  X  0  X  0  0  0  X  X  0  X  X  X  0  X  0  X  0  0  0  X  X  0  0  0  X  X  X  X  0  0  0  0  X  X  X  0  X  X  0  0  0  0  X  0  X  X  0  0  0  X  X  X  X  X  0  X  X  X  0  0  0  0  0
 0  0  0  0  0  0  0  0  X  0  X  0  0  0  0  X  0  0  0  0  X  X  X  0  X  X  X  0  X  0  0  X  X  0  0  X  0  X  X  0  X  0  X  0  0  X  X  X  0  X  0  X  X  X  0  X  0  0  0  X  X  X  0  X  0  0  0  0  X  0  X  0  X  0  X  0  X  0  0  0  X
 0  0  0  0  0  0  0  0  0  X  0  X  X  X  X  0  0  X  0  0  X  0  X  X  X  X  X  0  X  0  0  X  0  0  X  X  X  X  X  X  X  X  X  X  X  X  0  0  X  X  0  0  0  0  0  0  0  X  0  X  0  0  0  X  X  0  X  0  0  0  0  X  0  X  X  0  0  0  X  X  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+50x^66+40x^67+170x^68+212x^69+318x^70+360x^71+436x^72+530x^73+623x^74+688x^75+726x^76+826x^77+871x^78+918x^79+917x^80+992x^81+930x^82+1000x^83+876x^84+874x^85+722x^86+668x^87+622x^88+490x^89+400x^90+328x^91+259x^92+150x^93+145x^94+86x^95+68x^96+20x^97+28x^98+8x^99+16x^100+2x^101+7x^102+4x^104+1x^106+1x^108+1x^118

The gray image is a linear code over GF(2) with n=162, k=14 and d=66.
This code was found by Heurico 1.16 in 52.5 seconds.