The generator matrix

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

generates a code of length 21 over Z4 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+22x^13+98x^14+50x^15+164x^16+280x^17+476x^18+392x^19+88x^20+532x^21+700x^22+476x^23+228x^24+184x^25+240x^26+104x^27+24x^28+6x^29+18x^30+2x^31+7x^32+4x^34

The gray image is a code over GF(2) with n=42, k=12 and d=13.
This code was found by Heurico 1.16 in 39.7 seconds.