The generator matrix
1 1 1 1 1 1 1 1 1 1 X 2 1 1 1 1 1 1
0 2X+2 0 2 0 0 2 2 2X 0 2X 2X 2 2X+2 2X 0 2X+2 2X+2
0 0 2X+2 2 0 2X+2 2X+2 0 2X 0 2 2 2 2X 2 2 2 2X
0 0 0 2X 0 0 2X 0 0 2X 0 2X 0 2X 2X 0 0 2X
0 0 0 0 2X 0 0 0 0 2X 2X 2X 0 0 2X 2X 2X 2X
0 0 0 0 0 2X 2X 2X 2X 0 2X 0 2X 2X 2X 2X 0 0
generates a code of length 18 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 14.
Homogenous weight enumerator: w(x)=1x^0+80x^14+142x^16+512x^17+608x^18+512x^19+96x^20+80x^22+16x^24+1x^32
The gray image is a code over GF(2) with n=144, k=11 and d=56.
This code was found by Heurico 1.16 in 0.046 seconds.