The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 2X 0 0 0 0 2X 0 2X 2X 0 0 2X 2X 2X 2X 0 0
0 0 2X 0 0 0 2X 2X 2X 0 2X 2X 2X 2X 0 0 0 0
0 0 0 2X 0 2X 0 2X 0 2X 2X 0 2X 2X 2X 0 0 0
0 0 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 0 0 2X 0 0
generates a code of length 18 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 16.
Homogenous weight enumerator: w(x)=1x^0+15x^16+224x^18+15x^20+1x^36
The gray image is a code over GF(2) with n=144, k=8 and d=64.
This code was found by Heurico 1.16 in 3.81e-009 seconds.