The generator matrix

 1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1
 0 2X+2  0  2  0  0  2 2X+2 2X 2X 2X 2X+2  2 2X 2X 2X+2  2
 0  0 2X+2  2 2X  2 2X+2 2X  2 2X  2 2X+2 2X  0 2X+2  2  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+50x^16+160x^17+40x^18+4x^20+1x^32

The gray image is a code over GF(2) with n=136, k=8 and d=64.
This code was found by Heurico 1.16 in 1.05e-007 seconds.