The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  1  1  1  1  1  1
 0  1  0  1  0  1  1  0  0  1  1  0  0  0  0  0  0
 0  0  1  1  1  0  1  0  1  1  0  0  0  0  0  0  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  0  2
 0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  2  2
 0  0  0  0  0  2  0  0  0  0  0  0  0  2  2  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  2  2  2  0  0
 0  0  0  0  0  0  0  2  0  0  0  0  2  0  0  0  2
 0  0  0  0  0  0  0  0  2  0  0  0  2  0  0  2  2
 0  0  0  0  0  0  0  0  0  2  0  0  2  0  2  2  0
 0  0  0  0  0  0  0  0  0  0  2  0  2  0  2  0  0
 0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0

generates a code of length 17 over Z4 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+26x^6+154x^8+530x^10+1730x^12+5016x^14+8946x^16+8900x^18+4996x^20+1770x^22+530x^24+138x^26+26x^28+4x^30+1x^32

The gray image is a code over GF(2) with n=34, k=15 and d=6.
This code was found by Heurico 1.16 in 2.9 seconds.