The generator matrix

1 0 0 0 0 0 0 1 1 1 1 1 0 2 0 1 1 2 2 0 2 2 2 1 1 2 0 0 1 1 1 1
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 2 1 2 1 1 2 3 2 1 1 1 3 1 0
0 0 1 0 0 0 0 0 0 1 1 1 1 1 2 3 2 0 1 1 2 0 1 3 3 1 0 0 1 0 1 1
0 0 0 1 0 0 0 0 1 0 3 2 1 3 0 1 3 3 1 1 1 1 2 0 0 1 2 2 3 3 0 0
0 0 0 0 1 0 0 0 1 1 0 2 3 2 1 3 0 1 2 1 0 2 0 0 2 3 3 2 2 1 3 0
0 0 0 0 0 1 0 1 0 1 3 2 3 1 3 1 3 3 0 0 3 2 1 1 1 2 1 2 2 0 2 0
0 0 0 0 0 0 1 1 3 2 0 3 1 0 2 3 0 2 3 3 2 3 2 3 2 2 2 1 2 1 2 1
0 0 0 0 0 0 0 2 2 0 2 0 2 0 2 0 0 2 2 0 2 2 0 0 2 0 0 2 0 2 2 2

generates a code of length 32 over Z4 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+48x^21+177x^22+316x^23+544x^24+804x^25+999x^26+1458x^27+1894x^28+2396x^29+2863x^30+3086x^31+3331x^32+3162x^33+2990x^34+2570x^35+1956x^36+1514x^37+975x^38+686x^39+428x^40+250x^41+179x^42+76x^43+38x^44+18x^45+9x^46

The gray image is a code over GF(2) with n=64, k=15 and d=21.
This code was found by Heurico 1.10 in 17.8 seconds.