The generator matrix 1 0 1 1 1 X^2+X X 1 0 1 X+1 X^2+X X^2+1 1 0 X^2+2 0 0 2 0 2 0 2 0 generates a code of length 8 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+24x^6+128x^7+206x^8+128x^9+24x^10+1x^16 The gray image is a code over GF(2) with n=64, k=9 and d=24. This code was found by Heurico 1.16 in 1.05e-007 seconds.