The generator matrix

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

generates a code of length 17 over Z4 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+71x^14+71x^16+51x^18+36x^20+21x^22+4x^24+1x^26

The gray image is a code over GF(2) with n=34, k=8 and d=14.
This code was found by Heurico 1.16 in 0.00343 seconds.