The generator matrix 1 0 0 1 1 1 1 1 1 1 2X^2 1 2X^2+X 1 1 1 X^2+X 1 1 1 1 1 2X^2+X 1 X^2 2X^2+X 0 1 1 1 1 1 1 1 1 1 X^2+X 2X^2 1 2X 1 2X^2+X 1 1 1 1 1 X^2 2X 1 1 1 1 1 1 1 1 1 1 1 X^2 2X 1 X^2+X 2X^2+2X 1 1 1 1 1 1 1 2X^2 1 1 1 1 1 1 1 1 2X^2+X X^2 1 1 1 1 1 2X^2+2X 2X 2X^2+X 1 0 1 0 0 X^2 2X^2+2X+1 2X+1 X+2 2X^2+X+1 X^2+X+2 1 2 1 2X^2+X 2X^2+2X+2 X^2+2X+1 1 2X+2 X^2+2X+1 2X^2 2X^2+1 2X^2+X+2 2X^2+2X X^2+2X 1 1 2X^2+X 2 X^2+X 2X+2 2X^2+2X+1 2X^2+X 2 X^2+X 1 X^2+X+1 X^2+X 1 X^2+2X+2 1 X^2+X 1 X+2 X^2+1 2X^2+2 2X 1 1 1 X^2+2X+1 1 2X^2+1 2X^2+X+2 2X^2+2X+1 X^2 2X^2 2X+2 X^2+1 X^2+2 X^2+X+2 1 0 2 1 X 2X^2+2 2X^2 2X^2+X+1 2X 2X^2+2X 2X^2+1 X 1 2X^2+2X+1 2X^2+X+2 X^2+X+2 X^2 2X^2+1 X+1 2X 0 1 1 2X X^2+2X+2 2X^2+X+1 2X^2+1 X^2+X+1 1 1 1 X^2 0 0 1 2X^2+2X+1 2X^2+2 X^2+2 2X+1 X^2+X 2X^2+X X^2+X+2 2X^2+1 X+1 2X^2+2X+2 2X^2 2X^2+2X+1 X^2+2X 2X^2+1 2X X^2+2X+2 1 2X+1 2 1 2 X^2+X+2 0 1 2X^2+X X^2+2X 2X^2+2X+2 2X^2+1 X^2+X+1 2X^2+2X+1 X^2+2X+2 2X 2X+2 1 X+1 X^2+1 X^2+2X+2 X^2+X 2X^2+X X^2+2X X+1 2X^2+X+2 X^2+X+1 2X+1 X^2+X X^2+2X+1 X^2+X+2 X^2 2X^2+X+2 1 X+1 X+2 X^2+2X X+1 X^2+X 2X^2+2 2X^2 2X^2 1 2X^2+2 2X+1 1 2X^2 X^2+1 X^2+2X X^2+1 2X^2+X+2 2X^2+2X+2 2 2 X+2 2X^2+2X+2 X^2+X+1 X X+2 X^2+2X+1 X^2+2X+1 X^2+X+2 2X^2+X+2 X^2+1 2X 0 X^2+1 X+2 2 X^2+2X X^2+X 2X^2+2 2X+1 0 0 0 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 0 2X^2 0 2X^2 X^2 0 X^2 0 X^2 0 0 0 2X^2 X^2 X^2 2X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 2X^2 X^2 X^2 X^2 0 0 0 2X^2 0 2X^2 2X^2 0 X^2 2X^2 X^2 2X^2 0 0 2X^2 2X^2 X^2 2X^2 X^2 X^2 0 0 2X^2 2X^2 0 X^2 0 X^2 X^2 2X^2 0 0 0 X^2 2X^2 X^2 0 X^2 X^2 2X^2 2X^2 0 2X^2 0 X^2 2X^2 0 X^2 0 generates a code of length 92 over Z3[X]/(X^3) who´s minimum homogenous weight is 175. Homogenous weight enumerator: w(x)=1x^0+654x^175+846x^176+2370x^177+3066x^178+2928x^179+4060x^180+5496x^181+3714x^182+4568x^183+6084x^184+3210x^185+4456x^186+4842x^187+2418x^188+3196x^189+2490x^190+1326x^191+1368x^192+1026x^193+570x^194+122x^195+114x^196+12x^197+24x^198+24x^199+12x^200+4x^201+12x^202+18x^203+6x^205+6x^206+6x^209 The gray image is a linear code over GF(3) with n=828, k=10 and d=525. This code was found by Heurico 1.16 in 11.1 seconds.