The generator matrix

 1  0  0  0  0  0  0  1  1  1  1  1  X  0  0  0  1  0  1  1  1  X  1  1  1  1  1  X  0  0  1  1
 0  1  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  1  1 X+1 X+1  1 X+1  1 X+1  X  X  1  1  1  X  0
 0  0  1  0  0  0  0  0  0  1  1  1  1  1  0  X  X  1 X+1  0  0 X+1 X+1  1  X  0  X X+1 X+1  0  1  0
 0  0  0  1  0  0  0  0  1  0 X+1  X  1 X+1  1  1 X+1  1 X+1  0  X  X  X  0  X  0  X X+1  1 X+1  0  0
 0  0  0  0  1  0  0  0  1  1  0  X X+1  X  X X+1 X+1  X  1  X X+1 X+1  1  X  1 X+1 X+1  X X+1  1  X  0
 0  0  0  0  0  1  0  1  0 X+1 X+1  X X+1  1 X+1 X+1  X  X X+1  0 X+1  0 X+1  1  0  1  0  X  0  0  1  1
 0  0  0  0  0  0  1  1 X+1  X  0  1  1 X+1  X X+1  X  0  X  X  1  X  1  X  X X+1  1  1  X  1 X+1  0
 0  0  0  0  0  0  0  X  X  0  X  0  X  0  X  0  0  X  X  X  0  X  X  0  0  X  0  0  0  X  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+52x^21+164x^22+366x^23+535x^24+752x^25+1070x^26+1388x^27+1939x^28+2438x^29+2763x^30+3118x^31+3248x^32+3176x^33+3020x^34+2544x^35+1966x^36+1512x^37+1058x^38+706x^39+461x^40+248x^41+110x^42+68x^43+39x^44+14x^45+7x^46+2x^47+3x^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 1.11 in 18.4 seconds.