The generator matrix 1 0 0 0 0 1 1 1 2X 1 1 1 1 1 0 1 0 1 1 X 1 1 0 1 1 2X 1 2X X 1 0 1 1 2X 1 1 1 1 1 1 1 X 1 1 1 X 1 1 2X 1 1 1 1 1 1 1 1 1 0 1 X 1 1 1 2X 1 X 1 1 0 1 0 0 0 2X 1 2X+1 1 0 X 2X+2 2 1 1 2X+2 1 2 1 1 2X+1 X+2 0 2X X+2 0 X 1 1 2X+1 2X 2 X 1 0 2X+2 2X+2 1 2X+2 2X X+2 2X 0 0 X+2 1 X+1 2X+1 1 X+1 X+2 X X+1 2X+2 X+2 2 0 X 2X 2X 1 X+2 1 0 2X 2X 1 0 2X+2 0 0 1 0 0 0 0 0 0 X X X X 2X 2X 2X X 2X 2X X 2X 2X 2X 2X 1 1 2X+2 X+2 2X+2 2X+2 1 X+1 2 2X+2 X+2 2X+2 1 1 X+1 2 2X+2 1 X+1 1 2 2X+2 2X+2 2X+2 X+1 X+1 1 X+1 2X 2X+1 2 2X+1 2X+1 X+2 X 1 X 0 X+1 X+1 1 X+2 X+1 2 1 0 0 0 1 0 2X+1 1 2X+2 X+1 X+1 X+2 2X 2X+1 0 2 X+2 2 2X+2 2X 1 X+2 X 1 0 2X 2 0 2X+2 X+1 X+2 X+2 1 X+2 1 0 2X+1 2X X+1 2 2 2X+2 X X+2 X+1 1 X+2 1 0 2 2X X X 0 X+1 2X+2 2X+2 1 X+2 1 0 0 0 2X X+1 X+1 2X 2 2 2X+2 0 0 0 0 1 2X+2 X X+2 X+2 2X+1 X X+1 2X X+1 2X+1 2X+2 0 2X 0 2X+1 2X+1 2 2X+1 2 2X 2X+1 1 X+1 2X X 2X+2 X+1 0 X+2 X+2 0 1 2X+2 2 2X+1 2X 2 2X+1 2 1 0 X X+1 2X+2 0 1 X+1 X+2 X 2X+1 1 0 1 2X X 2X+1 X 2X+2 X 2X+2 0 0 X+2 2X+2 generates a code of length 69 over Z3[X]/(X^2) who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+954x^123+2952x^126+5076x^129+6756x^132+8478x^135+9354x^138+9576x^141+7828x^144+4962x^147+2070x^150+852x^153+156x^156+30x^159+2x^162+2x^171 The gray image is a linear code over GF(3) with n=207, k=10 and d=123. This code was found by Heurico 1.16 in 81.9 seconds.