The generator matrix

 1  1  1  1  1  1  1  1  X  0  X  0  X  X  X  X  2  X
 0  X  0 X+2  2 3X+2 2X+2  X 3X+2  X  X  X  2  2 X+2 X+2  2 2X
 0  0 2X+2  0  2  2 2X  2  2  0  2 2X  2 2X+2  0  0  2  2
 0  0  0 2X  0  0 2X  0  0 2X 2X 2X  0 2X  0 2X 2X  0
 0  0  0  0 2X  0  0 2X 2X 2X  0 2X  0 2X 2X  0  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+50x^14+128x^15+279x^16+376x^17+384x^18+408x^19+252x^20+104x^21+42x^22+8x^23+12x^24+4x^26

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 0.016 seconds.