The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+4x^17+6x^18+4x^19+1x^20

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 0.00056 seconds.