The generator matrix 1 0 0 0 1 1 1 1 1 2X 1 1 1 1 1 1 1 2X 1 X 1 0 1 1 1 1 1 1 0 2X 1 0 X X 1 1 1 1 1 1 1 1 2X 1 0 1 1 1 0 2X 0 1 1 1 1 X 0 1 1 1 1 2X 0 1 X 1 1 1 1 1 1 1 1 X 1 1 1 0 1 2X 1 0 0 1 X X 2X 2X 0 2X 1 X 0 1 0 0 0 0 2X+1 2X+1 X+1 1 2 X+2 2X 2X+2 1 X+2 X+2 1 2X 0 X+1 1 2X+1 2X 0 2X+2 X+2 X+1 1 1 2X 1 X 1 X+1 X+1 2X+2 2 2X+2 1 2 X+2 1 X 2X X+1 2X X 1 1 1 0 2X+1 X+1 1 1 1 0 X+2 2X+2 2X 2X 1 2 1 X+1 1 0 2X 2 2X 0 1 1 X+2 0 2X X 2X+1 1 2X+2 0 1 2X+1 2X 1 1 0 2X 1 2X+1 1 0 0 1 0 0 X X 2X 0 0 2X 2X 2X+1 1 1 2X+2 2 X+1 X+1 1 X+2 X+2 X+1 2 2 X+2 0 2X+2 2X+2 0 2X+2 X+1 1 1 X 0 X+1 X+1 2X+2 1 2X+2 2X X+1 2X 1 2X+2 1 0 X+2 X X+2 1 X+1 2 X+1 2 1 X+2 X 1 2X+1 1 X+1 X X 2X X+1 X+1 X+2 0 1 2X+1 X+2 1 1 X 2X+2 1 2X+2 0 2X+1 1 1 2X+2 1 2 X 1 1 X+2 X 2 0 0 0 1 1 2X+2 2 1 0 X+2 0 2X+1 X 2X X X+1 0 X+1 2X+1 X+2 X+2 2X+2 X+2 2X+2 1 2X+2 X+2 2X 1 X+1 X X+1 X+1 X+2 2X X+1 2X+2 2X+1 X 2X+1 1 2X+1 2X+1 X+2 X 2X+1 1 0 X X 2X+2 0 X+2 2X+1 0 X+1 X X X+1 2X+1 2 2 2 X+2 X+1 1 2X+2 X+1 1 2X 2X+2 2X X+2 X+2 2X+1 2X 2X+2 1 X+1 2X+2 X 2X+2 2X 1 2X+1 X X+1 2X+1 X+2 2 2X+1 0 0 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 0 2X 0 2X 0 2X 0 0 X 0 X X 2X X X 2X X 0 X 0 0 0 0 X X 2X 0 X 0 0 X 2X X X X 0 2X 0 2X 0 2X 0 X X 2X 0 X X 0 X X X 0 2X 0 0 2X 0 2X 2X 0 X 2X X X 2X 0 X 0 2X X 2X 0 X X generates a code of length 92 over Z3[X]/(X^2) who´s minimum homogenous weight is 170. Homogenous weight enumerator: w(x)=1x^0+348x^170+264x^171+1086x^173+630x^174+1614x^176+934x^177+1722x^179+914x^180+1848x^182+884x^183+1686x^185+798x^186+1680x^188+734x^189+1140x^191+592x^192+888x^194+390x^195+558x^197+252x^198+384x^200+100x^201+114x^203+38x^204+48x^206+22x^207+6x^209+8x^210 The gray image is a linear code over GF(3) with n=276, k=9 and d=170. This code was found by Heurico 1.16 in 9.36 seconds.