The generator matrix

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

generates a code of length 25 over Z4 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+42x^16+112x^17+157x^18+278x^19+391x^20+490x^21+600x^22+714x^23+810x^24+854x^25+917x^26+790x^27+656x^28+506x^29+318x^30+254x^31+139x^32+82x^33+53x^34+12x^35+9x^36+4x^37+2x^38+1x^42

The gray image is a code over GF(2) with n=50, k=13 and d=16.
This code was found by Heurico 1.10 in 0.797 seconds.