The generator matrix

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

generates a code of length 18 over Z4 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+52x^13+89x^14+96x^15+117x^16+102x^17+121x^18+122x^19+88x^20+96x^21+75x^22+36x^23+18x^24+6x^25+3x^26+2x^27

The gray image is a code over GF(2) with n=36, k=10 and d=13.
This code was found by Heurico 1.10 in 0.031 seconds.