The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 2
0 2X+2 0 2X+2 0 2X+2 2X 2 0 2X+2 0 2X+2 0 2X 2X 2 2 2X
0 0 2X 0 0 0 2X 0 0 2X 2X 2X 0 2X 0 2X 2X 0
0 0 0 2X 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0
0 0 0 0 2X 2X 2X 2X 2X 0 0 2X 0 2X 0 2X 0 0
generates a code of length 18 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 16.
Homogenous weight enumerator: w(x)=1x^0+58x^16+64x^17+288x^18+64x^19+24x^20+12x^24+1x^32
The gray image is a code over GF(2) with n=144, k=9 and d=64.
This code was found by Heurico 1.16 in -6.48e-008 seconds.