The generator matrix

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

generates a code of length 17 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+318x^16+128x^18+64x^20+1x^32

The gray image is a code over GF(2) with n=136, k=9 and d=64.
This code was found by Heurico 1.16 in 0.844 seconds.