The generator matrix

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

generates a code of length 17 over Z4 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+42x^13+84x^14+68x^15+45x^16+46x^17+72x^18+56x^19+16x^20+38x^21+36x^22+4x^23+2x^24+2x^25

The gray image is a code over GF(2) with n=34, k=9 and d=13.
This code was found by Heurico 1.16 in 4.93 seconds.