The generator matrix

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

generates a code of length 26 over Z4 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+119x^16+132x^17+402x^18+588x^19+962x^20+1360x^21+1872x^22+2412x^23+3004x^24+3630x^25+3604x^26+3706x^27+3068x^28+2582x^29+1928x^30+1338x^31+946x^32+470x^33+346x^34+146x^35+90x^36+18x^37+40x^38+2x^39+2x^40

The gray image is a code over GF(2) with n=52, k=15 and d=16.
This code was found by Heurico 1.10 in 11.5 seconds.