The generator matrix

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

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+56x^54+84x^55+170x^56+252x^57+340x^58+344x^59+373x^60+434x^61+430x^62+498x^63+453x^64+458x^65+447x^66+476x^67+494x^68+468x^69+423x^70+416x^71+387x^72+336x^73+265x^74+184x^75+150x^76+90x^77+78x^78+42x^79+17x^80+10x^81+8x^82+4x^83+3x^84+1x^110

The gray image is a linear code over GF(2) with n=132, k=13 and d=54.
This code was found by Heurico 1.16 in 9.73 seconds.