The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^10+80x^11+207x^12+218x^13+289x^14+396x^15+436x^16+598x^17+473x^18+504x^19+325x^20+198x^21+179x^22+44x^23+55x^24+10x^25+13x^26

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 0.222 seconds.