The generator matrix
1 1 1 1 1 1 1 1 1 1
0 2X 0 0 0 2X 0 0 2X 2X
0 0 2X 0 0 2X 0 2X 2X 0
0 0 0 2X 0 2X 2X 2X 0 0
0 0 0 0 2X 2X 2X 0 0 2X
generates a code of length 10 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 8.
Homogenous weight enumerator: w(x)=1x^0+15x^8+224x^10+15x^12+1x^20
The gray image is a code over GF(2) with n=80, k=8 and d=32.
This code was found by Heurico 1.16 in -1.01e-007 seconds.