The generator matrix

1 0 0 0 0 0 0 1 1 1 2 1 1 1 1 2 1 0 1 2 2 1 2 0 1 1
0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 2 1 2 1 2 1 0
0 0 1 0 0 0 0 0 0 1 0 1 2 0 3 1 2 2 1 1 1 1 0 0 1 1
0 0 0 1 0 0 0 1 0 0 0 2 3 2 1 1 0 1 1 1 2 2 3 1 0 0
0 0 0 0 1 0 0 1 2 3 1 1 3 1 2 3 1 2 1 1 2 0 0 1 1 1
0 0 0 0 0 1 0 1 3 2 3 3 0 1 2 2 2 1 0 3 3 1 0 1 1 0
0 0 0 0 0 0 1 2 1 3 3 0 1 0 3 2 1 2 0 0 1 1 1 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+100x^17+176x^18+314x^19+564x^20+706x^21+985x^22+1212x^23+1374x^24+1680x^25+1874x^26+1836x^27+1570x^28+1308x^29+1020x^30+656x^31+425x^32+284x^33+158x^34+74x^35+34x^36+18x^37+11x^38+4x^39

The gray image is a code over GF(2) with n=52, k=14 and d=17.
This code was found by Heurico 1.10 in 3.35 seconds.