The generator matrix 1 0 1 1 1 1 1 X+6 1 1 2X 1 1 1 0 1 X+6 1 1 2X 1 1 1 1 1 0 1 1 1 1 1 1 2X X+6 1 1 0 1 3 1 1 1 1 2X X+6 1 1 6 1 1 1 1 1 1 1 1 1 1 X+3 1 1 0 1 1 1 1 0 1 2X+7 8 X+6 X+1 X+5 1 2X+8 2X 1 7 2X+7 8 1 7 1 X+5 0 1 X+6 2X+8 2X X+1 0 1 X+6 8 X+5 2X+8 7 X+1 1 1 2 2X+7 1 2X 1 X+5 7 X+6 4 1 1 2X+8 4 1 2X+7 2X+4 X+1 2X+4 X+4 8 X+3 X 2 X+6 1 2X+2 X+2 1 8 0 X+4 3 0 0 6 0 0 0 6 6 3 3 6 6 3 3 3 0 3 6 6 0 0 0 0 3 6 6 3 6 0 6 0 6 0 0 3 0 3 3 6 3 6 6 6 3 3 0 3 0 3 6 0 0 3 3 0 6 6 3 0 6 3 0 0 3 6 6 0 0 0 3 0 3 6 3 3 6 0 3 6 3 0 0 6 6 6 3 3 3 6 3 6 6 0 0 0 0 6 0 0 3 0 6 0 6 3 0 3 3 6 6 3 6 3 3 6 3 3 0 3 3 0 0 3 3 6 3 6 6 6 6 0 0 0 0 0 0 6 6 3 0 3 6 6 3 3 6 3 3 0 0 3 3 6 3 0 3 0 6 6 6 0 3 0 6 3 0 0 6 0 3 3 6 6 0 0 6 6 6 0 6 6 0 3 0 6 3 3 3 0 0 3 6 3 0 3 0 3 3 generates a code of length 66 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+108x^123+288x^124+390x^125+828x^126+918x^127+1062x^128+1372x^129+1410x^130+1908x^131+2242x^132+2058x^133+2094x^134+1908x^135+1338x^136+780x^137+428x^138+264x^139+54x^140+76x^141+30x^142+18x^143+54x^144+12x^145+12x^146+16x^147+2x^150+8x^153+2x^156+2x^168 The gray image is a code over GF(3) with n=594, k=9 and d=369. This code was found by Heurico 1.16 in 1.26 seconds.