The generator matrix

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

generates a code of length 21 over Z4 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+81x^12+68x^13+384x^14+358x^15+704x^16+904x^17+1182x^18+1706x^19+1734x^20+2134x^21+1692x^22+1702x^23+1264x^24+910x^25+752x^26+318x^27+305x^28+78x^29+84x^30+12x^31+7x^32+2x^33+2x^34

The gray image is a code over GF(2) with n=42, k=14 and d=12.
This code was found by Heurico 1.16 in 4.71 seconds.