The generator matrix

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

generates a code of length 19 over Z4 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+62x^9+194x^10+406x^11+826x^12+1432x^13+2420x^14+3856x^15+5247x^16+6644x^17+7733x^18+7972x^19+7616x^20+6664x^21+5252x^22+3768x^23+2518x^24+1534x^25+768x^26+374x^27+174x^28+48x^29+16x^30+8x^31+2x^32+1x^34

The gray image is a code over GF(2) with n=38, k=16 and d=9.
This code was found by Heurico 1.10 in 12.2 seconds.