The generator matrix 1 1 1 1 1 1 1 1 1 0 X X^2+2 X^2+X 0 X^2+X 0 X+2 2 0 0 2 0 0 2 2 0 2 0 0 0 2 2 2 2 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+4x^6+36x^7+27x^8+376x^9+27x^10+36x^11+4x^12+1x^18 The gray image is a code over GF(2) with n=72, k=9 and d=24. This code was found by Heurico 1.16 in -3.24e-008 seconds.