The generator matrix 1 0 0 0 1 1 1 1 X 1 1 1 1 1 1 2X 1 1 X 1 0 1 X 1 0 1 1 1 0 1 2X 1 X 1 1 1 X 1 1 1 1 1 1 1 0 0 X 1 0 0 X 1 2X 1 1 1 2X 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 2X X 1 1 X 1 1 1 X 1 1 1 0 1 0 0 0 0 2X 2X 1 1 2X+1 X+2 2X+2 0 2X 2X 1 2 1 X+1 1 X+1 1 X+2 1 X+1 1 2X+2 1 1 1 X+2 X 2X+2 X+1 X+1 1 X+2 X+2 X 1 0 2X 2X 1 1 2X 2 1 1 0 X+2 0 X+2 X+2 X 1 1 2X+1 X 0 2X+1 2X 1 2X+1 1 1 1 2X+2 2X+2 2X 0 2X+2 2X+2 X X X X+1 0 2X 2X 2 1 1 0 0 0 1 2X+2 2X 1 0 0 1 0 0 0 2X+1 2 2X+1 1 2X 2X X+2 1 2X+2 1 2 X+1 X+2 X+2 2X X+1 X+1 2X+1 X+2 2X+1 2X X+2 2 X 2X+1 2X 1 X X+2 1 X 2 X+1 X+1 0 X+2 X 2X+2 2X 2X+1 1 X+1 2X+1 1 1 2X+2 1 2X X+2 0 X+2 X 2X+1 2 2X+1 X+1 X+2 2 2 1 2X+2 X 2X+1 X+1 X+2 2X+2 0 2X 1 2X+2 2X+1 2X+2 X 2X 1 X+1 2X+2 1 2X+1 2X+2 X+1 0 2X+1 2 1 0 0 0 1 1 2 2X+2 2 X+1 0 X+2 2X+2 2X+1 2X+1 X 2 X+1 0 2 2X X+2 X+2 2X X+1 0 1 X 2 2X+1 1 X+2 1 2X+1 2X 2 2X+2 2X+2 1 2X+2 X X+2 1 X 2X+1 2X+1 1 X 1 2X 2X+2 0 2 2X+2 0 X X X 0 2X+1 X+2 2X+1 X 2X+2 2X+1 X X X+1 2X+1 X+1 X+2 X 2X+1 2X+2 X+1 X+1 0 2 2 2X+1 1 0 2X 2X+1 2 2X+2 X+1 0 X 2 2X+1 X 0 0 0 0 2X 0 2X 0 0 2X 2X 0 0 X X X X X 2X 2X 2X 0 X 0 X 2X 0 X 2X 0 0 2X X X 0 X X X 0 X 2X X 2X 0 0 X 0 X 2X 0 0 2X 2X 0 0 2X 2X X 2X 2X 2X 0 2X 0 0 2X 2X 2X 0 2X X 2X X 2X 0 2X 2X 2X 0 X X 0 2X 2X X X X 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X X X X 2X 2X 2X 2X 2X 2X 2X 2X X X 2X X X 2X X 2X X 2X 2X X X 0 X X 2X X 2X X 0 0 2X 2X X 0 X 0 0 X 2X 2X 2X 2X X 2X 0 2X 2X 0 0 X X X 2X 2X X 2X X 0 0 X generates a code of length 91 over Z3[X]/(X^2) who´s minimum homogenous weight is 165. Homogenous weight enumerator: w(x)=1x^0+700x^165+2574x^168+3998x^171+5868x^174+7020x^177+7506x^180+8264x^183+8116x^186+6562x^189+4522x^192+2444x^195+1060x^198+288x^201+88x^204+14x^207+10x^210+6x^213+4x^219+2x^222+2x^225 The gray image is a linear code over GF(3) with n=273, k=10 and d=165. This code was found by Heurico 1.16 in 87.2 seconds.