The generator matrix
1 1 1 1 1 1 1 1 X
0 X^2+2 0 0 2 X^2+2 X^2+2 X^2 X^2
0 0 X^2+2 0 X^2+2 X^2+2 X^2 2 X^2
0 0 0 X^2+2 X^2 2 X^2 X^2 0
generates a code of length 9 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 6.
Homogenous weight enumerator: w(x)=1x^0+20x^6+64x^7+110x^8+640x^9+104x^10+64x^11+16x^12+4x^14+1x^16
The gray image is a code over GF(2) with n=72, k=10 and d=24.
This code was found by Heurico 1.16 in -1.01e-007 seconds.