The generator matrix

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

generates a code of length 25 over Z4 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+80x^17+178x^18+288x^19+399x^20+470x^21+616x^22+708x^23+817x^24+940x^25+875x^26+804x^27+707x^28+488x^29+351x^30+236x^31+114x^32+68x^33+23x^34+12x^35+10x^36+2x^37+5x^38

The gray image is a code over GF(2) with n=50, k=13 and d=17.
This code was found by Heurico 1.10 in 1.16 seconds.