The generator matrix

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

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+48x^21+166x^22+300x^23+586x^24+714x^25+1128x^26+1484x^27+1822x^28+2442x^29+2770x^30+3176x^31+3269x^32+3188x^33+2896x^34+2504x^35+2076x^36+1524x^37+1050x^38+684x^39+394x^40+258x^41+168x^42+44x^43+38x^44+18x^45+14x^46+6x^48

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 41.1 seconds.