The generator matrix
1 0 1 1 1 0 1 1 2 1 1 2 2 2 0 0 1 1
0 1 1 0 3 1 2 3 1 2 1 1 0 2 2 0 0 3
0 0 2 2 0 2 2 2 2 0 0 0 2 2 2 2 0 0
generates a code of length 18 over Z4 who´s minimum homogenous weight is 17.
Homogenous weight enumerator: w(x)=1x^0+8x^17+10x^18+8x^19+2x^20+2x^22+1x^24
The gray image is a code over GF(2) with n=36, k=5 and d=17.
This code was found by Heurico 1.16 in 0.000772 seconds.