The generator matrix

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

generates a code of length 25 over Z4 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+50x^15+178x^16+374x^17+538x^18+906x^19+1382x^20+1814x^21+2550x^22+3062x^23+3500x^24+3876x^25+3616x^26+3196x^27+2560x^28+1828x^29+1336x^30+902x^31+545x^32+294x^33+150x^34+74x^35+26x^36+6x^37+2x^38+2x^39

The gray image is a code over GF(2) with n=50, k=15 and d=15.
This code was found by Heurico 1.10 in 10.2 seconds.