The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+109x^16+142x^17+290x^18+488x^19+766x^20+908x^21+1227x^22+1540x^23+1628x^24+1976x^25+1798x^26+1620x^27+1290x^28+948x^29+688x^30+428x^31+278x^32+122x^33+88x^34+20x^35+24x^36+5x^38

The gray image is a code over GF(2) with n=50, k=14 and d=16.
This code was found by Heurico 1.16 in 14 seconds.