The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  2  0  2  1  1
 0  1  0  1  0  1  1  0  0  1  1  1  1  0  0  2  2
 0  0  1  1  1  0  1  0  1  1  0  0  1  1  0  1  1
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  2  2
 0  0  0  0  2  0  0  0  0  0  0  0  2  2  2  2  2
 0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2
 0  0  0  0  0  0  2  0  0  0  0  2  0  2  2  2  2
 0  0  0  0  0  0  0  2  0  0  0  2  2  2  0  2  2
 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  2  2  0  0  0
 0  0  0  0  0  0  0  0  0  0  2  0  2  2  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+136x^8+232x^10+1340x^12+2352x^14+4334x^16+3584x^18+2920x^20+976x^22+456x^24+24x^26+28x^28+1x^32

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 1.27 seconds.