The generator matrix

 1  1  1  1  1  1  1  1  X  0  1  1  X  0  2  1  1  2
 0  X  0 3X+2  2 X+2 2X+2  X X+2  X X+2  X 3X  X 2X 2X 2X+2  0
 0  0 2X+2  0  2  0  0 2X 2X 2X+2  2 2X+2 2X 2X+2  2 2X 2X+2 2X
 0  0  0 2X+2  0  0 2X  2 2X 2X+2 2X+2  0 2X 2X+2  0  2  2  2
 0  0  0  0 2X 2X 2X 2X  0  0  0  0 2X 2X 2X  0  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+119x^14+200x^15+562x^16+704x^17+968x^18+688x^19+530x^20+192x^21+95x^22+8x^23+27x^24+2x^26

The gray image is a code over GF(2) with n=144, k=12 and d=56.
This code was found by Heurico 1.16 in 0.079 seconds.