The generator matrix

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

generates a code of length 26 over Z4 who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+30x^17+83x^18+182x^19+288x^20+320x^21+523x^22+606x^23+718x^24+910x^25+829x^26+874x^27+805x^28+658x^29+525x^30+346x^31+212x^32+124x^33+84x^34+40x^35+23x^36+6x^37+4x^38+1x^40

The gray image is a code over GF(2) with n=52, k=13 and d=17.
This code was found by Heurico 1.10 in 0.874 seconds.