The generator matrix 1 0 1 1 1 1 1 1 2X^2 1 0 1 2X^2 1 2X^2 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X^2+2X 1 1 1 2X^2+X 1 1 X 1 2X 1 X^2+2X 1 1 1 2X 1 2X^2+X 1 1 1 1 2X 1 1 1 1 1 X X^2+X 1 1 1 1 X^2+2X 1 1 2X X 1 1 1 1 2X^2 1 1 1 X^2+2X 2X^2+X 2X^2+X 1 0 1 1 2 2X^2 2X^2+2 2X^2+1 0 1 2 1 2X^2+2X+1 1 X+1 1 1 2X^2 2X^2+X+2 2X+2 2X^2 2X+1 0 X^2+X+1 X+2 2X^2+X+2 2X+2 2X^2+2X+2 2 2X^2+2X 2X^2+2X+1 1 X+1 X^2+X 2X^2+X 1 1 X^2+X X^2+X+1 1 2X 2X+1 1 2X^2+X 1 1 1 2X X+2 2X^2+X+2 1 X^2+2X 1 X^2+2X X^2+X X^2+X+1 2X^2+X 1 X^2+1 2X^2+2X+2 2X^2+2X+2 2X^2+2 2X+2 1 1 X^2+1 0 X+2 X^2+2 1 X^2+2X 2X 1 1 X^2+2X X^2 2X^2 2X+1 1 X^2+2X+1 X^2+2X+1 X+2 1 1 1 X^2+X+2 0 0 2X X^2 X^2+X 2X^2+X 2X^2+2X X^2+2X X X^2+2X X^2+2X 2X^2 X^2 X X^2+X 2X^2+2X 2X^2 0 2X^2+2X X X^2 2X 2X^2+X 2X^2+X 2X^2+2X X^2 X^2+X 0 X^2+X 2X X 2X^2+2X 2X X^2 2X^2 0 X 0 2X^2 X^2 X 2X^2+2X X^2+2X X^2+2X 2X^2+X X^2+X 2X X^2+2X X^2+X X X X^2+X X^2+2X 2X^2+X 2X^2 X^2+X 2X^2+2X X^2 2X^2 0 2X^2 X 0 X^2+2X X^2+X 2X^2 X^2 X X^2 2X^2+X 2X^2+2X 0 2X 2X^2 2X^2+X 2X^2+2X 0 2X^2 X^2+2X 2X^2+2X X 2X 0 2X^2+X 2X^2+2X generates a code of length 85 over Z3[X]/(X^3) who´s minimum homogenous weight is 165. Homogenous weight enumerator: w(x)=1x^0+432x^165+858x^166+906x^167+642x^168+780x^169+300x^170+368x^171+588x^172+264x^173+332x^174+420x^175+300x^176+234x^177+102x^178+6x^179+6x^182+8x^183+4x^186+6x^190+2x^195+2x^201 The gray image is a linear code over GF(3) with n=765, k=8 and d=495. This code was found by Heurico 1.16 in 0.443 seconds.