The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X
0 X 2X+2 X+2 0 X+2 2X+2 3X 0 X+2 2X 3X+2 2X+2 2 3X 3X 0 2X X+2 X+2
0 0 2X 0 0 2X 2X 2X 2X 0 2X 2X 0 0 0 2X 2X 2X 0 2X
0 0 0 2X 2X 2X 2X 0 2X 0 0 0 0 2X 2X 2X 0 2X 0 2X
generates a code of length 20 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+92x^18+325x^20+92x^22+1x^24+1x^36
The gray image is a code over GF(2) with n=160, k=9 and d=72.
This code was found by Heurico 1.16 in 3.81e-009 seconds.