The generator matrix

 1  0  0  0  0  0  1  1  1  1  0  1  2  1  1  2  1
 0  1  0  0  0  0  0  0  0  3  2  1  1  0  1  1  0
 0  0  1  0  0  0  0  1  0  2  2  1  3  1  1  0  0
 0  0  0  1  0  0  0  1  1  3  1  1  2  0  0  0  0
 0  0  0  0  1  0  1  0  1  0  1  1  1  1  0  1  0
 0  0  0  0  0  1  1  1  0  1  1  0  1  0  2  0  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  2  2  2  0  0  2  0
 0  0  0  0  0  0  0  0  2  2  2  2  0  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+84x^8+66x^9+512x^10+470x^11+1405x^12+1608x^13+2592x^14+3640x^15+3601x^16+4828x^17+3584x^18+3604x^19+2594x^20+1640x^21+1440x^22+472x^23+490x^24+50x^25+64x^26+6x^27+17x^28

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 5.51 seconds.