The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 X X X X X X X X X X X X X X X X X X X X X X X 0 6 0 0 6 0 6 6 3 0 0 6 6 0 3 6 3 3 0 6 3 0 6 3 3 3 3 0 0 0 6 6 0 6 6 3 0 0 6 6 0 3 6 3 3 0 6 3 6 6 0 6 3 6 0 0 0 3 6 6 3 3 6 3 0 3 6 3 3 0 0 0 6 3 0 0 6 0 3 6 3 6 3 0 6 6 0 3 0 0 6 6 3 3 3 3 6 0 0 6 3 0 0 6 3 6 6 3 0 3 0 6 6 0 3 0 0 6 6 3 3 3 6 0 3 3 0 6 0 6 3 6 6 0 0 6 3 3 6 3 0 6 3 3 0 3 3 0 0 0 0 6 3 3 0 3 3 3 6 0 3 0 3 6 6 0 6 6 6 3 6 0 6 3 0 0 6 3 3 3 6 6 6 3 3 0 0 0 6 6 3 3 6 0 0 0 6 0 3 0 3 3 3 3 0 3 0 3 0 0 3 3 0 6 6 6 0 3 6 6 6 6 generates a code of length 74 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 146. Homogenous weight enumerator: w(x)=1x^0+102x^146+32x^147+486x^148+54x^149+32x^150+8x^153+4x^156+4x^159+6x^173 The gray image is a code over GF(3) with n=666, k=6 and d=438. This code was found by Heurico 1.16 in 75.1 seconds.