The generator matrix

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

generates a code of length 17 over Z4 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+42x^9+158x^10+356x^11+532x^12+790x^13+1244x^14+1700x^15+2209x^16+2384x^17+2040x^18+1740x^19+1344x^20+824x^21+516x^22+300x^23+134x^24+54x^25+10x^26+4x^28+2x^29

The gray image is a code over GF(2) with n=34, k=14 and d=9.
This code was found by Heurico 1.10 in 0.925 seconds.