The generator matrix 1 0 0 0 0 1 1 1 2X 1 1 1 1 1 0 1 0 1 1 X 1 1 0 1 1 X 1 1 1 1 1 1 1 1 1 1 2X 2X 2X 1 1 1 1 1 1 1 1 1 X 1 1 0 X 1 1 X 1 2X 0 1 2X 0 1 1 0 X 1 0 1 1 X 1 X 0 0 1 2X 1 2X 1 1 1 1 2X 0 X 1 1 1 1 1 0 1 0 0 0 2X 1 2X+1 1 0 X 2X+2 2 1 1 2X+2 1 2 1 1 2X+1 X+2 0 2X X 1 X+1 X+2 2X+1 0 2X X+2 2 X X+2 2 2X 1 1 2 2X+2 2X+2 X+1 2 2X 0 X+1 0 1 2X+2 2X+1 X 1 2X 2 2X X+1 1 1 2X+2 1 X 0 X 1 2X 0 1 2X+1 2 X X+1 1 X 1 2X 1 2X+1 1 2X+1 0 2X+2 2X+1 X X 1 2X X+2 X+2 1 2X 0 0 1 0 0 0 0 0 0 X X X X 2X 2X 2X X 2X 2X X 2X 2X 2X 2X 2X 2 X+2 2X+1 X+2 X+2 1 1 2 X+2 2 1 1 1 2 X+1 2X+2 2X+1 X+2 2X+1 X+1 2 X+1 X+1 2X+1 X+2 X+1 1 2X+1 2X+2 X+2 0 X+1 2X+1 2X X 1 1 1 2X+1 2 1 2 2 X+1 X+2 1 2 X+2 2X 2X+2 0 X+1 X+1 2X 2X 2X 1 X+2 2X 1 X+2 2X+2 0 1 X 2X+2 0 0 0 1 0 2X+1 1 2X+2 X+1 X+1 X+2 2X 2X+1 0 2 X+2 2 2X+2 2X 1 X+2 X 1 0 2 X+1 2 2X X+1 2X 2 2X+1 X+2 X+1 1 2X+2 2 2X+1 X+1 X+2 1 X+2 0 0 0 2X X 0 X+2 2X 2 X+1 2X+1 2 2X 1 1 X+1 X+2 2 0 X X+1 1 X X+1 2 1 2X+2 2 2X+2 X+2 X+2 1 2X+2 1 2X+2 2 2X 1 X+2 X X 1 2X 2 2X X+1 2X X+1 2X+1 0 0 0 0 1 2X+2 X X+2 X+2 2X+1 X X+1 2X X+1 2X+1 2X+2 0 2X 0 2X+1 2X+1 2 2X+1 2 2X+1 0 2X X X+1 1 2X+1 X+1 2X 1 0 X 1 X+2 1 X+2 X+2 1 0 2X+1 1 2 X 2X 1 X 2X 0 X 1 X+2 2 1 2X+1 2X+2 2X+1 1 2 2X X+1 X+2 X+2 2X+2 2 X 0 2X 1 X+1 2X+2 2X+2 X+1 2X X+1 X+1 X+2 1 2X+1 1 0 2 2X+2 X+2 X 2X+2 1 0 generates a code of length 91 over Z3[X]/(X^2) who´s minimum homogenous weight is 165. Homogenous weight enumerator: w(x)=1x^0+384x^165+318x^166+378x^167+1288x^168+588x^169+906x^170+2616x^171+1062x^172+1194x^173+3088x^174+1446x^175+1452x^176+3734x^177+1758x^178+1590x^179+4454x^180+1632x^181+1860x^182+4664x^183+1908x^184+1878x^185+4206x^186+1560x^187+1602x^188+3372x^189+1266x^190+1206x^191+2624x^192+882x^193+576x^194+1478x^195+462x^196+330x^197+646x^198+198x^199+114x^200+202x^201+36x^202+36x^203+40x^204+6x^205+8x^207 The gray image is a linear code over GF(3) with n=273, k=10 and d=165. This code was found by Heurico 1.16 in 155 seconds.