The generator matrix

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

generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+222x^54+756x^56+1084x^58+1449x^60+1654x^62+2023x^64+1990x^66+2015x^68+1816x^70+1444x^72+1044x^74+506x^76+242x^78+112x^80+10x^82+13x^84+2x^86+1x^108

The gray image is a linear code over GF(2) with n=132, k=14 and d=54.
This code was found by Heurico 1.10 in 11.9 seconds.