The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+19x^16+16x^17+20x^18+8x^19

The gray image is a code over GF(2) with n=136, k=6 and d=64.
This code was found by Heurico 1.16 in 6.87e-008 seconds.