The generator matrix

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

generates a code of length 18 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+178x^15+602x^16+540x^17+1520x^18+532x^19+522x^20+128x^21+40x^22+26x^23+3x^24+4x^25

The gray image is a code over GF(2) with n=144, k=12 and d=60.
This code was found by Heurico 1.16 in 0.047 seconds.