The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+459x^12+1988x^13+8382x^14+25360x^15+58202x^16+73240x^17+58292x^18+25520x^19+8373x^20+1860x^21+398x^22+32x^23+37x^24

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 90.2 seconds.