The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+77x^10+192x^11+317x^12+372x^13+605x^14+924x^15+1033x^16+1060x^17+1066x^18+1036x^19+626x^20+348x^21+290x^22+148x^23+70x^24+12x^25+9x^26+4x^27+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 0.831 seconds.