The generator matrix
1 1 1 1 1 1 1 X 1 1 1
0 2 0 0 0 0 0 0 2 2 0
0 0 2 0 0 0 0 2 2 2 0
0 0 0 2 0 0 0 2 0 2 0
0 0 0 0 2 0 0 2 0 2 2
0 0 0 0 0 2 0 2 2 0 2
0 0 0 0 0 0 2 2 2 0 0
generates a code of length 11 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 6.
Homogenous weight enumerator: w(x)=1x^0+13x^6+25x^8+89x^10+768x^11+91x^12+23x^14+10x^16+3x^18+1x^20
The gray image is a code over GF(2) with n=88, k=10 and d=24.
This code was found by Heurico 1.16 in 3.62e-008 seconds.