The generator matrix 1 0 1 1 1 1 1 X+6 1 2X 1 1 1 1 0 1 1 X+6 1 1 2X 1 1 1 1 1 1 1 X+6 1 1 1 0 1 1 1 1 X+6 1 2X 1 1 X+6 0 1 1 1 2X 1 2X X+3 1 1 1 0 1 1 X+6 1 1 1 1 1 1 1 1 1 1 0 1 2X+7 8 X+6 X+1 X+5 1 7 1 2X 2X+8 8 0 1 2X+7 X+5 1 X+1 X+6 1 7 2X 2X+8 X+1 8 X+6 2X+8 1 7 X+5 0 1 2X+7 2X 2 7 1 X+6 1 2X 2X+7 1 1 X+1 X+5 X+2 1 X+1 1 1 X+5 8 8 1 X+3 8 1 X+2 0 X+6 X+8 7 2X 2X+3 2 X+5 0 0 0 6 0 0 0 6 6 3 6 6 0 3 0 3 3 3 0 6 0 0 3 6 0 3 3 6 3 0 3 3 0 3 3 3 0 3 6 0 6 0 0 3 3 0 0 3 6 3 0 3 3 6 3 6 6 6 0 6 3 6 6 6 6 6 3 3 0 0 0 0 3 0 0 6 6 0 3 0 3 0 3 6 6 0 6 0 6 3 3 6 3 6 3 6 6 3 3 3 0 6 3 0 0 3 0 3 3 0 3 0 0 0 6 3 3 3 6 0 6 6 3 0 6 0 3 6 6 0 0 6 3 0 3 3 3 0 0 0 0 6 0 3 6 6 6 6 6 3 6 0 0 0 6 3 0 3 6 6 0 6 6 0 6 6 3 0 3 3 0 6 6 3 3 3 6 0 3 3 0 3 3 3 0 0 6 0 3 3 6 0 0 0 6 6 6 3 6 6 6 6 0 3 3 0 0 0 0 0 3 0 6 6 3 0 3 3 0 0 3 3 6 3 3 6 3 6 6 3 6 0 0 3 0 0 6 0 3 0 6 6 0 3 0 6 6 6 0 0 0 3 6 6 3 3 6 6 0 6 3 6 0 0 3 6 6 0 6 3 0 6 6 generates a code of length 68 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+130x^123+18x^124+18x^125+676x^126+342x^127+252x^128+2016x^129+1458x^130+1008x^131+5308x^132+3474x^133+2322x^134+9418x^135+6174x^136+3150x^137+9482x^138+4698x^139+1746x^140+4682x^141+1206x^142+252x^143+710x^144+126x^145+246x^147+64x^150+16x^153+18x^156+12x^159+6x^162+10x^165+8x^168+2x^177 The gray image is a code over GF(3) with n=612, k=10 and d=369. This code was found by Heurico 1.16 in 10.4 seconds.