The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+91x^8+162x^10+48x^11+552x^12+480x^13+526x^14+720x^15+711x^16+1600x^17+724x^18+720x^19+520x^20+480x^21+556x^22+48x^23+173x^24+74x^26+6x^30

The gray image is a code over GF(2) with n=34, k=13 and d=8.
This code was found by Heurico 1.16 in 0.368 seconds.