The generator matrix

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

generates a code of length 25 over Z4 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+49x^18+78x^19+115x^20+142x^21+185x^22+184x^23+177x^24+210x^25+163x^26+200x^27+163x^28+146x^29+107x^30+48x^31+50x^32+14x^33+8x^34+2x^35+6x^36

The gray image is a code over GF(2) with n=50, k=11 and d=18.
This code was found by Heurico 1.10 in 0.046 seconds.