The generator matrix
1 1 1 1 1 1 1 1 X 2
0 X 2X+2 X+2 0 X+2 0 2X X+2 2X+2
0 0 2X 0 0 2X 2X 2X 0 0
0 0 0 2X 2X 2X 2X 0 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+94x^8+32x^9+212x^10+128x^11+40x^12+4x^14+1x^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 1.05e-007 seconds.