The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+22x^15+91x^16+214x^17+375x^18+532x^19+607x^20+904x^21+1340x^22+1522x^23+1682x^24+1750x^25+1654x^26+1550x^27+1382x^28+1034x^29+648x^30+432x^31+306x^32+188x^33+75x^34+38x^35+27x^36+6x^37+4x^38

The gray image is a code over GF(2) with n=50, k=14 and d=15.
This code was found by Heurico 1.10 in 2.75 seconds.