The generator matrix

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

generates a code of length 32 over Z2[X]/(X^2) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+56x^21+160x^22+282x^23+501x^24+836x^25+1116x^26+1466x^27+1948x^28+2392x^29+2752x^30+3094x^31+3315x^32+3120x^33+2877x^34+2572x^35+2065x^36+1536x^37+1024x^38+702x^39+453x^40+236x^41+126x^42+74x^43+34x^44+16x^45+8x^46+2x^47+2x^48+1x^50+1x^52

The gray image is a linear code over GF(2) with n=64, k=15 and d=21.
This code was found by Heurico 1.16 in 49.2 seconds.