The generator matrix
1 1 1 1 X 1
0 X^2+2 0 0 X^2+2 0
0 0 X^2+2 0 X^2+2 0
0 0 0 X^2+2 X^2+2 0
0 0 0 0 2 0
generates a code of length 6 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 2.
Homogenous weight enumerator: w(x)=1x^0+28x^2+16x^3+71x^4+240x^5+1336x^6+240x^7+71x^8+16x^9+28x^10+1x^12
The gray image is a code over GF(2) with n=48, k=11 and d=8.
This code was found by Heurico 1.16 in 3.81e-009 seconds.