The generator matrix
1 1 1 1 X 1 X X X 1 1
0 X^2+2 2 X^2 X^2+2 0 X^2 2 0 X^2+2 2
generates a code of length 11 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 10.
Homogenous weight enumerator: w(x)=1x^0+3x^10+54x^11+3x^12+1x^14+2x^15
The gray image is a code over GF(2) with n=88, k=6 and d=40.
This code was found by Heurico 1.16 in -1.01e-007 seconds.