The generator matrix 1 0 1 1 1 1 X+6 1 1 2X 1 1 1 0 1 1 1 1 1 6 1 1 X 1 1 1 2X+6 1 1 1 6 1 1 1 1 1 1 1 1 2X 6 1 1 1 2X 1 X+6 1 1 1 X 1 6 2X+3 1 0 1 1 1 1 1 1 1 1 1 3 1 0 1 1 8 X+6 X+5 1 2X+7 2X 1 2X+8 X+1 0 1 5 2X+7 X+1 X+8 X+6 1 2X X+7 1 2X+5 6 2X+1 1 1 X 2X+5 1 2X+6 X+7 2X+1 2X+8 2X+4 X+6 X+1 5 1 1 6 X+3 X+5 1 2X+6 1 X 8 X+6 2X+3 2X+5 1 1 2 1 1 X+7 8 6 2X+1 4 8 4 2X 1 0 0 0 2X 0 0 6 6 6 3 0 0 6 2X+3 2X+6 X+6 2X+3 2X X 2X X+3 2X+3 X+6 X X+6 X+6 X+6 X+3 X+3 X+6 X X+6 X X+3 X 2X+6 2X+3 6 6 X 2X+6 X X+6 2X+6 2X 0 2X+3 6 X+6 0 2X+6 X+6 0 2X+6 2X+3 3 2X+3 3 6 X+6 0 X+3 6 0 3 0 X+3 3 0 0 0 3 0 0 0 6 0 0 6 3 0 0 6 3 6 3 3 3 6 6 6 6 3 0 0 0 0 6 3 3 3 6 6 0 3 6 3 0 6 0 3 0 6 0 3 0 6 3 3 0 6 6 0 0 6 6 6 6 3 3 0 3 6 6 3 0 0 0 0 6 6 3 3 3 6 3 0 6 0 3 3 6 3 6 0 6 6 6 0 3 0 0 3 6 6 6 0 0 0 3 3 6 0 6 6 0 0 3 3 3 0 0 3 0 0 3 0 6 3 6 3 0 3 0 6 3 3 6 6 3 6 0 generates a code of length 67 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+154x^123+168x^124+438x^125+1012x^126+1356x^127+1650x^128+3008x^129+3042x^130+3864x^131+4966x^132+5670x^133+6366x^134+6544x^135+5610x^136+5088x^137+4038x^138+2526x^139+1386x^140+992x^141+462x^142+78x^143+236x^144+84x^145+48x^146+112x^147+30x^148+24x^149+42x^150+12x^152+24x^153+6x^154+4x^156+2x^159+4x^162+2x^165 The gray image is a code over GF(3) with n=603, k=10 and d=369. This code was found by Heurico 1.16 in 9.84 seconds.