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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 2X 0 X+6 2X X+6 2X+3 0 3 X+6 2X 0 X+3 2X+3 3 X+3 2X 3 X+6 3 2X+6 X+3 2X+3 6 X+3 2X+3 0 0 3 3 X+6 X+6 X+3 X+3 2X 2X+3 2X 2X+6 0 X+6 2X+3 6 X 2X 6 2X+3 X+3 0 X+6 2X 3 X 2X+6 6 X 2X+6 3 X 2X+3 X+3 0 3 2X+6 X+6 6 X+3 2X+6 0 0 0 3 0 3 0 6 6 3 6 6 0 3 0 3 3 0 3 6 3 0 6 3 0 6 6 6 0 3 3 0 6 3 3 6 6 0 6 0 6 0 3 0 6 0 6 3 3 6 0 3 3 0 6 0 6 0 6 6 0 6 6 0 0 0 6 0 3 3 0 0 0 3 6 3 3 6 6 3 6 6 0 6 6 3 3 3 6 3 6 3 0 0 0 0 0 6 3 0 0 0 0 3 6 3 6 6 3 0 0 0 3 3 0 3 3 6 6 6 6 6 3 0 0 0 6 0 6 3 3 3 3 0 3 6 0 6 6 generates a code of length 69 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 132. Homogenous weight enumerator: w(x)=1x^0+20x^132+12x^133+24x^134+60x^135+78x^136+84x^137+1718x^138+36x^139+36x^140+34x^141+24x^142+12x^143+18x^144+12x^145+6x^146+10x^147+2x^207 The gray image is a code over GF(3) with n=621, k=7 and d=396. This code was found by Heurico 1.16 in 0.178 seconds.