The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+163x^12+1010x^13+4368x^14+12820x^15+28320x^16+37374x^17+28904x^18+12824x^19+4057x^20+974x^21+232x^22+20x^23+3x^24+2x^25

The gray image is a code over GF(2) with n=136, k=17 and d=48.
This code was found by Heurico 1.16 in 21.5 seconds.