The generator matrix 1 1 X 1 1 0 X^2+2 X^2+2 0 0 0 0 2 0 0 0 0 0 2 0 generates a code of length 5 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+7x^2+40x^4+160x^5+40x^6+7x^8+1x^10 The gray image is a code over GF(2) with n=40, k=8 and d=8. This code was found by Heurico 1.16 in 1.05e-007 seconds.