The generator matrix

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

generates a code of length 19 over Z4 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+56x^12+88x^13+170x^14+252x^15+340x^16+400x^17+406x^18+532x^19+566x^20+472x^21+282x^22+228x^23+178x^24+64x^25+34x^26+12x^27+10x^28+4x^30+1x^32

The gray image is a code over GF(2) with n=38, k=12 and d=12.
This code was found by Heurico 1.16 in 0.282 seconds.