The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+25x^12+8x^13+67x^14+48x^15+77x^16+120x^17+89x^18+160x^19+86x^20+120x^21+74x^22+48x^23+66x^24+8x^25+22x^26+1x^28+3x^30+1x^34

The gray image is a code over GF(2) with n=38, k=10 and d=12.
This code was found by Heurico 1.16 in 0.0187 seconds.