The generator matrix

 1  0  1  1  1 X+2  1  1 2X+2  1  1 3X  1  1  1  1  1  1
 0  1 X+1 X+2  3  1 2X+2 3X+3  1 3X 2X+1  1  0 X+2 2X+2 3X X+1  3
 0  0 2X  0  0  0  0 2X  0 2X 2X 2X  0  0 2X 2X  0  0
 0  0  0 2X  0  0 2X 2X  0 2X  0 2X  0 2X 2X  0  0 2X
 0  0  0  0 2X  0 2X  0 2X 2X 2X 2X  0 2X  0 2X  0  0
 0  0  0  0  0 2X  0 2X 2X 2X  0 2X 2X 2X  0  0 2X 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+53x^14+32x^15+578x^16+864x^17+1047x^18+864x^19+567x^20+32x^21+51x^22+5x^24+1x^26+1x^28

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 0.047 seconds.