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 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 0 X 0 0 0 2X X+3 2X+3 X 2X+3 3 3 X+3 2X+3 2X X+3 X+3 X+3 2X+3 X+6 0 X+6 2X 2X+3 2X+6 3 3 2X+3 2X+6 X+3 2X+3 2X+6 0 X X+6 X+6 6 2X+3 X X+3 0 2X 2X+3 X 6 2X 0 6 X X 3 X 3 2X 6 X+3 2X+3 3 X+6 2X+6 0 X 2X X 3 0 2X 3 3 3 3 X X+6 2X+3 0 0 X 0 6 3 6 3 0 0 X+3 2X+6 2X+6 2X+3 X+6 X 2X X 2X+6 X 2X+6 2X+6 X+3 X+3 2X 2X+6 X+6 2X X+6 2X 6 X+6 X+6 X+3 2X+6 2X+3 X 2X+3 3 6 2X+3 0 0 X+3 X+6 2X 2X+6 2X 2X X X+3 X+6 2X+3 6 6 X+3 X+6 2X+6 6 2X+6 3 2X+6 2X X+6 X 2X+6 2X+3 2X+3 X 2X X 6 6 X+3 0 0 0 X 2X+3 0 2X X+6 X 2X 2X+3 6 3 0 6 X+6 X+6 3 2X+6 2X 2X 2X+6 2X X+6 X+6 X+3 X+3 2X+3 2X+3 2X X 3 2X+3 X+6 X+6 3 X 3 X+3 6 X+3 2X+6 X+6 0 2X X 3 X+6 X X+3 0 6 2X 3 3 2X X+6 0 X+3 X+3 X+3 X+6 6 0 0 X+6 2X 2X+6 2X+6 3 X 3 2X+3 3 generates a code of length 74 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 138. Homogenous weight enumerator: w(x)=1x^0+468x^138+1140x^141+1316x^144+1944x^146+1638x^147+5832x^148+3888x^149+1542x^150+680x^153+552x^156+390x^159+206x^162+60x^165+24x^168+2x^216 The gray image is a code over GF(3) with n=666, k=9 and d=414. This code was found by Heurico 1.16 in 4.89 seconds.