The generator matrix
1 0 1 1 1 3X+2 1 1 2 1 1 3X 1 1 1 1 1 1
0 1 X+1 3X+2 2X+3 1 2 X+3 1 3X 2X+1 1 2X X+2 2X+2 X 3X+1 0
generates a code of length 18 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 17.
Homogenous weight enumerator: w(x)=1x^0+76x^17+101x^18+76x^19+1x^26+1x^28
The gray image is a code over GF(2) with n=144, k=8 and d=68.
This code was found by Heurico 1.16 in 3.81e-009 seconds.