The generator matrix
1 1 1 1 1 1 1 1 X X
0 2X+2 0 2X+2 0 2X 2X+2 2 0 2X
0 0 2X 0 0 2X 0 0 2X 2X
0 0 0 2X 0 0 0 2X 2X 2X
0 0 0 0 2X 2X 2X 2X 0 0
generates a code of length 10 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 8.
Homogenous weight enumerator: w(x)=1x^0+66x^8+384x^10+56x^12+5x^16
The gray image is a code over GF(2) with n=80, k=9 and d=32.
This code was found by Heurico 1.16 in 6.87e-008 seconds.