The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+43x^16+104x^17+185x^18+272x^19+389x^20+466x^21+552x^22+736x^23+850x^24+888x^25+898x^26+800x^27+615x^28+508x^29+352x^30+224x^31+138x^32+80x^33+61x^34+16x^35+11x^36+2x^37+1x^44

The gray image is a code over GF(2) with n=50, k=13 and d=16.
This code was found by Heurico 1.16 in 1.76 seconds.