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 0 X 2X 0 X+3 2X 6 2X+6 X+3 X+6 2X 0 6 X+3 2X 6 X+3 0 X+3 3 2X+3 6 6 X+3 X 2X 2X+3 0 2X+3 X 6 X 0 X 3 X+6 0 X+3 X 2X 2X+3 2X+3 X+3 2X+3 2X+3 3 X 2X+6 2X 2X+3 3 X+3 0 2X+3 0 3 2X 0 X X+3 2X X+6 2X+6 6 X+6 2X 0 0 6 0 0 0 0 3 3 6 6 0 0 6 6 0 6 6 0 3 6 3 6 6 0 0 3 6 3 0 3 3 3 3 6 3 0 0 6 0 6 0 0 3 3 0 6 3 6 6 3 0 6 3 3 3 0 6 3 6 0 3 0 6 6 3 0 0 0 6 0 6 3 3 6 3 0 0 6 0 6 0 3 3 6 6 0 6 3 3 0 6 3 3 3 6 6 6 3 6 0 3 6 6 6 3 3 3 3 0 0 3 0 6 6 3 3 3 6 6 0 0 3 6 3 6 0 0 6 0 0 6 0 0 0 0 3 3 0 6 6 0 6 6 3 6 6 3 6 3 0 6 3 0 0 3 6 6 3 6 0 6 3 0 3 3 6 3 6 3 6 6 0 3 0 0 6 3 0 3 0 3 0 3 3 6 3 6 0 0 0 3 0 0 0 3 3 0 generates a code of length 66 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 124. Homogenous weight enumerator: w(x)=1x^0+270x^124+54x^126+282x^127+48x^129+234x^130+4920x^132+234x^133+32x^135+96x^136+24x^138+132x^139+12x^141+108x^142+10x^144+72x^145+30x^148+2x^198 The gray image is a code over GF(3) with n=594, k=8 and d=372. This code was found by Heurico 1.16 in 25.7 seconds.