The generator matrix
1 1 1 1 1 X X X 1 1
0 2 0 2 0 0 2 2 0 2
0 0 2 2 0 2 2 0 2 2
generates a code of length 10 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 9.
Homogenous weight enumerator: w(x)=1x^0+6x^9+51x^10+3x^12+2x^13+1x^14
The gray image is a code over GF(2) with n=80, k=6 and d=36.
This code was found by Heurico 1.16 in 0 seconds.