The generator matrix
1 1 1 1 1 X 1 1
0 X^2+2 0 0 0 2 X^2 0
0 0 X^2+2 0 X^2 0 2 0
0 0 0 X^2+2 X^2 X^2 X^2+2 0
0 0 0 0 2 2 0 0
generates a code of length 8 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 4.
Homogenous weight enumerator: w(x)=1x^0+38x^4+34x^5+57x^6+216x^7+1341x^8+236x^9+66x^10+24x^11+28x^12+2x^13+5x^14
The gray image is a code over GF(2) with n=64, k=11 and d=16.
This code was found by Heurico 1.16 in 3.81e-009 seconds.