The generator matrix
1 1 1 1 1 1 1 1 1 1
0 2X 0 0 0 0 0 2X 0 0
0 0 2X 0 0 0 0 2X 0 0
0 0 0 2X 0 0 0 2X 0 0
0 0 0 0 2X 0 0 2X 0 0
0 0 0 0 0 2X 0 2X 0 0
0 0 0 0 0 0 2X 2X 0 0
generates a code of length 10 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+21x^4+42x^8+896x^10+42x^12+21x^16+1x^20
The gray image is a code over GF(2) with n=80, k=10 and d=16.
This code was found by Heurico 1.16 in 6.87e-008 seconds.