The generator matrix

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

generates a code of length 17 over Z4 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+109x^8+528x^10+1236x^12+2688x^14+3787x^16+3360x^18+2640x^20+1536x^22+391x^24+80x^26+28x^28

The gray image is a code over GF(2) with n=34, k=14 and d=8.
This code was found by Heurico 1.16 in 2.28 seconds.