The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+94x^8+487x^10+2055x^12+5341x^14+8317x^16+8542x^18+5374x^20+1938x^22+532x^24+75x^26+11x^28+1x^30

The gray image is a code over GF(2) with n=34, k=15 and d=8.
This code was found by Heurico 1.16 in 4.97 seconds.