The generator matrix

 1  1  1  1  1  1  1  1  1  X  X  1 2X+2  0 2X  1  1  1
 0  X  0  X  0 2X X+2  2 X+2  0 3X+2 2X+2  X  X  2 3X 2X X+2
 0  0  X  X 2X+2 3X+2 X+2 2X+2 2X X+2  2  0 X+2  0  X 3X 3X+2  0
 0  0  0 2X  0  0  0 2X 2X 2X  0  0  0 2X 2X 2X 2X  0
 0  0  0  0 2X 2X  0  0 2X 2X  0 2X  0 2X  0 2X  0 2X

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+83x^14+150x^15+554x^16+568x^17+1420x^18+540x^19+550x^20+136x^21+63x^22+14x^23+15x^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 0.062 seconds.