The generator matrix

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

generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+63x^50+162x^52+282x^54+516x^56+822x^58+1324x^60+1786x^62+2094x^64+2280x^66+2083x^68+1818x^70+1363x^72+807x^74+495x^76+262x^78+117x^80+57x^82+31x^84+12x^86+5x^88+2x^90+1x^92+1x^106

The gray image is a linear code over GF(2) with n=132, k=14 and d=50.
This code was found by Heurico 1.16 in 47.8 seconds.