The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^21+166x^22+312x^23+498x^24+812x^25+1078x^26+1482x^27+1992x^28+2340x^29+2789x^30+3030x^31+3230x^32+3322x^33+2943x^34+2472x^35+2015x^36+1546x^37+1062x^38+688x^39+422x^40+232x^41+146x^42+78x^43+32x^44+16x^45+7x^46+2x^47+1x^48+2x^49+1x^50+1x^52

The gray image is a code over GF(2) with n=64, k=15 and d=21.
This code was found by Heurico 1.16 in 45.7 seconds.