The generator matrix 1 0 0 0 1 1 1 1 1 2X 1 1 1 1 1 1 1 2X 1 0 1 X 1 2X 1 1 1 X 1 1 0 1 0 1 1 X 0 2X 1 2X 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 X 1 0 1 X 1 1 1 1 1 1 1 1 1 1 2X 1 1 X 1 1 1 1 1 1 0 1 1 1 2X 0 1 1 1 1 1 1 1 1 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 1 2X+1 0 X+1 X 1 2 2X+2 1 2X+1 X+2 1 2X 1 X 0 1 1 1 X+1 1 0 2X+2 1 2X+1 X+2 2X+2 2X+2 1 2X+1 X+1 0 X 1 X+1 X 2 1 X 0 2X 2 X 2X X X+2 X 1 2 0 X 2X+1 0 1 2X+2 1 X+1 2X+1 X 2 X 2 X+1 1 0 2X 0 2X 2X+1 1 0 2X+2 X 1 X+2 2X+1 X+2 2X+1 2 0 0 1 0 0 X X 2X 0 0 2X 2X 2X+1 1 1 2X+2 2 X+1 X+1 X+2 X+1 1 2X+2 1 2X+2 1 X+2 X+1 X+2 X+1 2X+1 2 0 2X+1 2 X+2 2X+2 2X 2X+2 1 2X X+2 X+2 X+1 2X+2 2X 2 X 0 0 2 2X 0 2X+1 X+2 2X 2 2X 0 1 1 X 1 1 X 2X+2 0 2X+1 1 2X+2 2 X+1 2X+1 2X+1 2X 2X X+2 1 2X+1 1 2X+2 X+2 2X+1 X+2 1 2X+2 0 1 0 1 X+2 X+2 1 X+1 2X 1 X+2 2X+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 2X+2 X+2 X+2 1 X+1 2X+2 X+2 X+2 2X+2 X 2X+1 X 2 X+1 2 2X+1 1 0 2 2 2X+2 1 X+1 2X+1 1 0 2 X+2 2X+2 X+1 2X 1 2 X X+2 X 2X 1 0 1 2X X+2 1 2X+1 X+1 X 0 0 2 X X X+2 X X+2 X X+1 X+2 2X X+2 2 1 2X+1 1 X 2 1 X+1 X+2 X+1 2 2X 2X+2 2X+1 0 2X X 2 2X+1 2X+2 0 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 0 2X 0 2X 0 2X 0 2X 2X 2X 0 X X 2X X 2X X X X 2X X 0 X 2X X 0 X 0 X X 0 X 0 0 0 X X 0 X 2X X X X 0 X 0 X 0 2X X X X X X 0 0 0 X 0 2X 2X 0 2X X X X 2X 2X 2X 0 2X 0 2X 0 2X 0 2X 0 X 0 X generates a code of length 98 over Z3[X]/(X^2) who´s minimum homogenous weight is 182. Homogenous weight enumerator: w(x)=1x^0+312x^182+324x^183+1242x^185+744x^186+1614x^188+826x^189+1776x^191+830x^192+1794x^194+888x^195+1638x^197+694x^198+1452x^200+724x^201+1206x^203+654x^204+870x^206+454x^207+600x^209+270x^210+366x^212+90x^213+168x^215+50x^216+54x^218+10x^219+18x^221+12x^224+2x^228 The gray image is a linear code over GF(3) with n=294, k=9 and d=182. This code was found by Heurico 1.16 in 10 seconds.