The generator matrix

 1  0  0  0  0  1  1  1  1  0  1  1  1  1  2  2  1
 0  1  0  0  0  0  0  3  3  1  2  1  2  1  1  1  0
 0  0  1  0  0  0  1  1  2  0  3  2  3  3  1  0  0
 0  0  0  1  0  1  1  0  1  3  3  2  0  1  2  0  0
 0  0  0  0  1  1  0  1  2  1  3  1  2  2  2  3  0
 0  0  0  0  0  2  0  2  0  2  2  0  2  2  0  0  0
 0  0  0  0  0  0  2  2  0  2  2  2  0  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+34x^10+86x^11+137x^12+238x^13+324x^14+422x^15+517x^16+558x^17+536x^18+434x^19+342x^20+218x^21+124x^22+82x^23+26x^24+10x^25+6x^26+1x^28

The gray image is a code over GF(2) with n=34, k=12 and d=10.
This code was found by Heurico 1.16 in 0.197 seconds.