The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  2  0  0  0  0  0  0  0  0  0  2  0  0  2  2  2
 0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  0
 0  0  0  2  0  0  0  0  0  0  2  0  2  2  0  2  2
 0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  0
 0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  2  2
 0  0  0  0  0  0  2  0  0  2  0  0  2  0  0  2  2
 0  0  0  0  0  0  0  2  0  2  2  2  2  0  2  0  2
 0  0  0  0  0  0  0  0  2  2  2  2  0  0  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+34x^10+68x^12+68x^14+85x^16+512x^17+85x^18+68x^20+68x^22+34x^24+1x^34

The gray image is a code over GF(2) with n=34, k=10 and d=10.
This code was found by Heurico 1.16 in 2.65 seconds.