The generator matrix
1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1
0 2 0 0 0 2 2 2 0 0 0 2 2 2 2 0 0 0
0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0
0 0 0 2 2 0 2 2 2 2 0 0 2 2 0 0 0 0
generates a code of length 18 over Z4 who´s minimum homogenous weight is 16.
Homogenous weight enumerator: w(x)=1x^0+7x^16+14x^18+8x^20+2x^26
The gray image is a code over GF(2) with n=36, k=5 and d=16.
This code was found by Heurico 1.16 in 0.000796 seconds.