The generator matrix

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

generates a code of length 17 over Z4 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+88x^10+156x^11+329x^12+400x^13+637x^14+860x^15+973x^16+1232x^17+1008x^18+916x^19+678x^20+400x^21+298x^22+116x^23+66x^24+16x^25+16x^26+1x^28+1x^30

The gray image is a code over GF(2) with n=34, k=13 and d=10.
This code was found by Heurico 1.16 in 0.808 seconds.