The generator matrix 1 0 1 1 1 1 1 2X^2+X 1 1 1 2X 1 1 0 1 1 1 1 2X^2+X 1 1 1 2X 1 1 1 1 0 1 2X 1 1 2X^2+X 1 1 X^2+X 1 0 1 2X 1 1 1 1 1 1 1 1 1 1 2X^2+X 1 1 1 1 1 1 1 1 1 1 X^2+2X X^2 2X^2+2X X X^2+2X X^2 2X 1 1 1 X 1 1 X^2+X 1 1 1 1 1 1 1 1 1 1 1 1 1 2X^2+X X^2+X 1 1 0 1 2X^2+2X+1 2 2X^2+X X+1 2X^2+X+2 1 2X+2 2X 2X^2+1 1 0 2 1 2X^2+X+2 2X^2+X 2X^2+2X+1 2X 1 2X+2 X+1 2X^2+1 1 2X^2+X 2 2X 0 1 2X^2+2X+1 1 X+1 2X^2+X+2 1 2X+2 2X^2+X 1 X+1 1 2X^2+1 1 X^2+2X+2 2X^2+X+2 X^2+2X+1 X^2 X^2+2 X^2+X+1 2X 0 2X^2 X^2+2X 1 X^2+X 2X+2 2X^2+1 X^2+X+2 X^2+2X+2 X+1 2X^2+X+2 X^2+1 2 X^2+1 1 1 1 1 1 1 1 X^2+X+1 2X^2+X+1 2X^2+2X+1 1 2X+1 2X^2+1 1 X^2+2X+1 2X^2+2X+1 1 X+2 X^2+2X+2 2X^2+1 1 X^2+X+2 2X+2 X^2 0 X^2+2X X 1 1 2X^2+X+1 0 0 0 2X^2 0 0 0 2X^2 2X^2 2X^2 X^2 2X^2 X^2 0 X^2 0 2X^2 X^2 2X^2 X^2 0 X^2 X^2 2X^2 0 X^2 2X^2 0 2X^2 X^2 0 X^2 0 X^2 0 X^2 2X^2 X^2 0 2X^2 2X^2 X^2 0 X^2 X^2 2X^2 2X^2 0 0 0 0 2X^2 2X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 2X^2 0 X^2 0 X^2 2X^2 X^2 0 X^2 2X^2 2X^2 0 2X^2 0 2X^2 X^2 X^2 0 2X^2 X^2 0 X^2 0 X^2 2X^2 X^2 2X^2 0 2X^2 0 X^2 0 0 0 0 X^2 0 0 0 0 0 X^2 2X^2 2X^2 X^2 2X^2 X^2 2X^2 X^2 X^2 2X^2 X^2 2X^2 X^2 2X^2 2X^2 2X^2 X^2 X^2 X^2 0 X^2 X^2 2X^2 X^2 2X^2 X^2 2X^2 2X^2 X^2 X^2 0 0 0 0 2X^2 0 2X^2 0 2X^2 2X^2 X^2 0 2X^2 0 2X^2 2X^2 X^2 0 X^2 0 0 0 0 X^2 2X^2 0 X^2 X^2 2X^2 0 0 X^2 0 X^2 2X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 2X^2 2X^2 0 0 0 2X^2 2X^2 2X^2 2X^2 0 0 0 0 0 0 2X^2 X^2 2X^2 2X^2 X^2 0 2X^2 2X^2 2X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2 0 0 X^2 0 X^2 2X^2 2X^2 X^2 X^2 X^2 X^2 0 0 0 2X^2 2X^2 X^2 X^2 0 2X^2 2X^2 0 X^2 0 2X^2 2X^2 0 2X^2 0 2X^2 0 0 X^2 X^2 2X^2 X^2 X^2 2X^2 0 0 0 X^2 0 0 2X^2 X^2 2X^2 X^2 0 2X^2 X^2 X^2 X^2 X^2 X^2 2X^2 X^2 2X^2 X^2 2X^2 X^2 X^2 X^2 0 0 0 0 2X^2 0 2X^2 0 0 0 X^2 generates a code of length 93 over Z3[X]/(X^3) who´s minimum homogenous weight is 177. Homogenous weight enumerator: w(x)=1x^0+274x^177+234x^178+666x^179+1466x^180+486x^181+1458x^182+1918x^183+594x^184+1548x^185+2114x^186+666x^187+2142x^188+2344x^189+648x^190+1350x^191+1040x^192+216x^193+126x^194+124x^195+72x^196+114x^198+64x^201+6x^204+2x^207+6x^216+2x^222+2x^228 The gray image is a linear code over GF(3) with n=837, k=9 and d=531. This code was found by Heurico 1.16 in 1.98 seconds.