The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 2 0 2 0 2 0 2 2X 2X+2 2X 2X+2 2X 2X+2 2X 2X+2 0
0 0 2X 0 0 2X 2X 2X 2X 2X 2X 0 0 2X 0 0 0
0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 2X 2X 0 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+15x^16+224x^17+15x^18+1x^34
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 -3.24e-008 seconds.