The generator matrix
1 1 1 1 1 1 1 1
0 2X 0 0 0 0 0 2X
0 0 2X 0 0 0 0 2X
0 0 0 2X 0 0 0 2X
0 0 0 0 2X 0 0 2X
0 0 0 0 0 2X 0 2X
0 0 0 0 0 0 2X 2X
generates a code of length 8 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+28x^4+966x^8+28x^12+1x^16
The gray image is a code over GF(2) with n=64, k=10 and d=16.
This code was found by Heurico 1.16 in -1.01e-007 seconds.