The generator matrix

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

generates a code of length 17 over Z4[X]/(X^3+2,2X) 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.