The generator matrix 1 0 1 1 1 1 1 1 2X^2 1 1 0 1 1 1 X^2 1 2X^2+X 1 1 1 1 2X 1 1 1 2X^2+X X^2+2X 1 1 1 1 1 X 1 1 2X 1 1 1 1 1 1 1 0 X 1 1 0 1 1 1 1 2X^2+2X 1 1 1 1 1 1 1 1 1 X^2+2X 2X^2+2X 1 X 1 1 1 1 1 1 1 1 X^2+X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 2 2X^2 2X^2+2 0 2X+1 1 X^2+1 2 1 X+1 2X^2 2X^2+X+2 1 2X^2+2 1 2X^2+2X+2 1 2X^2 X^2+1 1 0 X+2 2X+2 1 1 2X^2+2X+1 2X^2+X+1 2X^2+2X 2X^2+X+1 X+2 1 X 2X+2 1 2X^2+X 2X^2+2X X^2+2X+1 2X+2 2X X+1 X^2+2X+2 1 1 X^2+2X+1 X 1 2X^2+X+2 X+1 2X^2+X+1 2X^2+2X+1 1 2 X X^2+2X X^2+1 2X+1 2X+2 X^2+2X 2X^2+X X+2 1 1 2X 1 1 X^2+2X+1 2X^2+X+1 2X+1 X^2+X+1 1 X+2 2X^2+2 1 1 X^2+1 X^2+X+1 2X^2+X X^2+X+2 2X+1 0 2X^2 2X^2+X 2X X^2+X X^2+2X 2X X 2X^2+X+1 2X+1 0 0 0 2X X^2 X^2+X 2X^2+X X^2+2X X X 2X^2+2X X^2+2X X^2+2X X^2 2X^2 X^2+2X X^2+X 2X^2 2X^2 X^2+X 2X^2+X X 0 2X^2+2X 2X 2X^2+X 2X^2+2X 2X^2+2X 2X^2 X^2 2X^2+X X^2+X 2X^2+2X X^2 X X 2X^2 X^2+X 2X^2+2X 2X^2 X^2+X 2X 2X^2+2X X^2+2X X 2X 0 0 0 2X^2 X 2X 0 2X^2+2X 0 X^2+X 2X^2+X 2X^2+X X^2+2X X^2 X^2 2X 2X^2 2X 2X^2+X 2X 0 2X^2+X X 2X^2+X X^2+X 2X X 0 2X^2 2X^2+2X X^2+2X 2X^2 X^2+X X^2 X^2+2X 0 X^2+2X X^2 2X^2+2X X^2+X X^2+X 2X^2+2X 0 2X^2 X^2 X^2+2X 2X^2+X X^2 generates a code of length 93 over Z3[X]/(X^3) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+276x^180+324x^181+138x^182+1686x^183+600x^184+60x^185+1102x^186+384x^187+96x^188+622x^189+312x^190+684x^192+144x^193+18x^194+72x^195+18x^196+2x^198+6x^204+12x^209+2x^222+2x^225 The gray image is a linear code over GF(3) with n=837, k=8 and d=540. This code was found by Heurico 1.16 in 0.521 seconds.