The generator matrix

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

generates a code of length 19 over Z4 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+139x^10+118x^11+607x^12+560x^13+1366x^14+1768x^15+2601x^16+3408x^17+3478x^18+4676x^19+3478x^20+3408x^21+2601x^22+1768x^23+1366x^24+560x^25+607x^26+118x^27+139x^28+1x^38

The gray image is a code over GF(2) with n=38, k=15 and d=10.
This code was found by Heurico 1.10 in 3.73 seconds.