The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  0  0  0  1  1  1
 0  2  0  2  0  0  2  2  0  2  2  2  2  0  0  0  2
 0  0  2  2  0  2  2  0  2  2  0  0  2  2  0  2  2

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

Homogenous weight enumerator: w(x)=1x^0+8x^17+3x^18+3x^20+1x^22

The gray image is a code over GF(2) with n=34, k=4 and d=17.
This code was found by Heurico 1.16 in 0.000595 seconds.