The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 X 0 3 0 0 0 0 3 6 6 0 0 3 3 3 3 3 3 3 0 6 0 0 3 3 0 0 3 0 0 3 6 0 6 0 3 3 6 6 0 3 0 0 3 3 3 6 6 6 0 0 0 3 0 6 6 3 0 3 3 0 0 3 6 3 3 3 0 3 3 0 6 0 0 0 0 0 3 6 6 6 6 6 0 6 0 0 6 6 0 3 6 6 3 0 0 3 generates a code of length 24 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+64x^42+54x^44+64x^45+216x^47+1494x^48+216x^50+24x^51+8x^54+32x^57+2x^60+8x^63+4x^66 The gray image is a code over GF(3) with n=216, k=7 and d=126. This code was found by Heurico 1.16 in 0.0155 seconds.