The generator matrix

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

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+76x^14+174x^15+453x^16+780x^17+1150x^18+828x^19+388x^20+112x^21+100x^22+22x^23+6x^24+4x^25+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.