The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^12+82x^13+158x^14+222x^15+333x^16+434x^17+473x^18+558x^19+440x^20+454x^21+344x^22+234x^23+170x^24+54x^25+46x^26+10x^27+10x^28+2x^30+1x^34

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 0.261 seconds.