The generator matrix
1 0 1 3X+2 1 2X 1 X+2 1 2 1 2X+2 1 3X 1 X
0 1 3X+2 1 2X 1 X+2 1 2 1 2X+2 1 3X 1 X 1
generates a code of length 16 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 16.
Homogenous weight enumerator: w(x)=1x^0+254x^16+1x^32
The gray image is a code over GF(2) with n=128, k=8 and d=64.
This code was found by Heurico 1.16 in 0.078 seconds.