The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^21+154x^22+254x^23+428x^24+538x^25+778x^26+968x^27+1173x^28+1432x^29+1457x^30+1626x^31+1639x^32+1528x^33+1352x^34+1028x^35+702x^36+486x^37+312x^38+214x^39+148x^40+62x^41+38x^42+4x^43+5x^44+5x^46+2x^47

The gray image is a code over GF(2) with n=62, k=14 and d=21.
This code was found by Heurico 1.16 in 21.2 seconds.