The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+52x^9+148x^10+292x^11+557x^12+882x^13+1264x^14+1734x^15+2089x^16+2250x^17+2168x^18+1774x^19+1314x^20+870x^21+496x^22+290x^23+134x^24+42x^25+20x^26+6x^27+1x^28

The gray image is a code over GF(2) with n=34, k=14 and d=9.
This code was found by Heurico 1.16 in 4.17 seconds.