The generator matrix

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

generates a code of length 32 over Z2[X]/(X^2) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+61x^20+171x^22+82x^23+342x^24+252x^25+604x^26+674x^27+920x^28+1296x^29+1264x^30+1764x^31+1431x^32+1832x^33+1282x^34+1300x^35+954x^36+656x^37+632x^38+266x^39+330x^40+60x^41+128x^42+10x^43+48x^44+12x^46+8x^48+2x^50+1x^52+1x^54

The gray image is a linear code over GF(2) with n=64, k=14 and d=20.
This code was found by Heurico 1.16 in 10.3 seconds.