The generator matrix

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

generates a code of length 31 over Z4 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+56x^21+124x^22+288x^23+456x^24+546x^25+721x^26+882x^27+1185x^28+1500x^29+1567x^30+1610x^31+1611x^32+1502x^33+1290x^34+966x^35+746x^36+562x^37+354x^38+206x^39+84x^40+56x^41+37x^42+16x^43+13x^44+2x^45+3x^46

The gray image is a code over GF(2) with n=62, k=14 and d=21.
This code was found by Heurico 1.10 in 4.56 seconds.