The generator matrix
1 1 1 1 1 1 1 1 X 0 1
0 X 2X+2 X+2 2X 3X+2 2 3X X+2 X 0
generates a code of length 11 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 10.
Homogenous weight enumerator: w(x)=1x^0+30x^10+64x^11+31x^12+1x^14+1x^18
The gray image is a code over GF(2) with n=88, k=7 and d=40.
This code was found by Heurico 1.16 in 1.05e-007 seconds.