The generator matrix

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

generates a code of length 17 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+480x^12+2052x^13+8732x^14+24768x^15+56157x^16+77336x^17+56732x^18+24976x^19+8448x^20+1924x^21+484x^22+16x^23+34x^24+4x^26

The gray image is a code over GF(2) with n=136, k=18 and d=48.
This code was found by Heurico 1.16 in 88.9 seconds.