The generator matrix 1 0 0 0 1 1 1 1 0 1 1 1 1 0 1 2X 1 1 X 2X 1 1 X 1 1 1 X 2X 0 1 1 1 1 1 1 X 1 1 1 1 1 0 1 1 1 0 1 2X 0 2X 1 0 2X 1 1 1 1 1 1 1 1 1 2X X 1 X 1 1 1 1 1 1 1 1 1 1 1 1 2X 1 1 1 1 X 1 0 X 1 1 0 0 1 1 1 1 1 X 0 1 0 1 0 0 0 0 2X 2X 2X 2X 0 0 X 2X 2X+1 1 2X+2 2X+2 1 1 X+1 X+1 1 2 X+2 2X+1 1 1 1 2X+1 2X+1 2 2X+1 X+2 X+2 1 0 X+1 0 X+1 2X+1 1 X+2 X+2 2X+2 1 1 1 1 X X+1 X 1 2X+2 0 0 0 2X X X+1 1 X+2 1 1 2X+2 2X 2 2X+1 X+1 2 X+1 2X+2 X+1 2X+1 2X+1 2 2 X+1 1 2X+2 1 1 2 2X X+2 1 2X 2X+1 2X 1 1 2X 2 X X+1 2X+1 X X 0 0 0 1 0 0 1 2X+2 2X+1 1 2 2 2X 2X+1 1 X 1 0 2X+2 2X+1 2X+2 2 2X X+1 X 2 X+1 2X X+2 1 X+2 X+2 2X+1 1 X+2 2X+1 2X 2X+2 0 2X+1 X X+1 X+1 1 1 0 X 2 2X+2 2X+2 1 1 1 2 2X+1 X+2 X+1 X+1 X+1 X 2 X X+1 2X+1 X+2 2 X 2X+1 2X+1 0 2X+2 2X+1 X+2 2X+2 2 2X+2 0 X+1 1 2X 1 0 X X 1 1 X+1 1 X+1 X+2 2X+2 1 2X+1 0 0 X+1 1 1 X 0 0 0 0 1 1 X+1 2X+1 2 2 0 2 2X+2 0 2X+1 X+2 X X 2X+2 2X+2 0 2X 1 2X+1 2X+1 2X+1 X X+1 2X+2 2X+1 1 2X+2 0 2X+2 2X 1 X 2 2X 2X+2 2X+1 1 0 1 2X X+2 X+2 X X 1 1 X+2 X X+2 X+2 X+1 2X+1 X 2X+2 2X X+1 2X 2 2 X+1 0 1 X+2 2X+1 2 2 2 2X+2 X 1 X+2 2 X+2 X 2X+1 0 X 2 0 1 2X+1 2X 2X+2 X+1 2 X+2 2X+1 2X 2X+2 2X 2X+2 2X 2X 1 2X 0 0 0 0 2X 2X 2X X X 2X X X 0 2X X 0 0 X X 0 0 2X X 0 0 2X 0 2X 0 0 2X X 0 X 0 X 0 X 2X X X X X 0 2X X X X 0 0 2X 2X X 0 0 0 X 0 2X X 0 2X 2X 2X 0 X X 0 0 2X 2X 0 X X 0 X 2X 0 X 2X 2X X X X 2X 2X 2X 0 2X 2X 2X 0 0 2X 0 2X X X 2X generates a code of length 99 over Z3[X]/(X^2) who´s minimum homogenous weight is 183. Homogenous weight enumerator: w(x)=1x^0+66x^183+306x^184+240x^185+454x^186+708x^187+414x^188+828x^189+1158x^190+606x^191+816x^192+1104x^193+600x^194+872x^195+1110x^196+576x^197+898x^198+1110x^199+474x^200+722x^201+1020x^202+462x^203+640x^204+870x^205+426x^206+544x^207+570x^208+264x^209+346x^210+408x^211+204x^212+170x^213+216x^214+60x^215+132x^216+132x^217+24x^218+46x^219+24x^220+24x^221+22x^222+12x^223+2x^228+2x^231 The gray image is a linear code over GF(3) with n=297, k=9 and d=183. This code was found by Heurico 1.16 in 12.2 seconds.