The generator matrix
1 1 1 1 1 1 1 1 0 1 2 1 1 1 1 X 1 X
0 X 0 X 2X 0 3X X X 2 X 3X+2 2X+2 2X+2 2X+2 X+2 X+2 3X+2
0 0 X X 2 X+2 X+2 2 2X 2 3X X 0 3X+2 X X+2 3X+2 2X+2
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+222x^16+128x^17+352x^18+128x^19+167x^20+16x^22+9x^24+1x^28
The gray image is a code over GF(2) with n=144, k=10 and d=64.
This code was found by Heurico 1.16 in 0.016 seconds.