The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 X 1 1 1 2X 1 1 1 1 1 0 1 X 1 1 X 1 1 1 0 1 1 1 X X 1 1 1 1 1 1 2X 0 1 1 1 1 1 1 1 1 1 1 2X 1 1 1 1 1 2X 0 1 2X X 1 1 0 1 1 1 1 1 1 1 1 1 1 X 1 1 0 1 1 2 0 1 2 1 0 2X+1 2 1 0 2 2X+1 1 2X+1 0 2 1 2X+1 2 X 1 2X 1 2X+1 2 X+2 1 2X+1 0 0 2 X+1 1 2 1 2 X 1 X+1 2X+2 0 1 1 X+2 2X+2 1 1 X X+2 2X 2X+1 1 1 1 1 2X 0 1 2X+2 2X 2X+1 2X+2 2 1 X+2 1 X+1 X X X+2 X+1 1 1 2X+2 1 0 2 1 1 2 2 2X+2 2X 2X+2 X+2 1 X+1 X+2 X+2 2X 2X+1 0 0 0 2X 0 0 0 0 0 0 2X X 0 X X 2X X 0 2X 2X X X 0 0 2X 0 X X 2X 2X X X X 0 X X 0 X 2X X X 0 X 0 2X 2X X X X 2X 0 2X 0 2X 0 0 2X 0 X 0 0 2X X X X 2X 2X X 0 2X 0 2X 2X 2X 0 0 X 0 0 X 2X X 0 X 0 0 X X X 0 X 2X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X X X X X X 0 X X 0 2X X 0 2X X 2X 0 X 2X X X X 0 2X 0 2X X X X X X X 2X 2X 0 0 X 0 0 X 0 0 X X 2X X X X 2X 0 2X 2X 0 X X 0 0 2X 0 0 X 0 X X X 2X 0 X X 0 0 0 X 0 X X 2X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X X X X X 2X X 2X 2X X 2X X 2X 0 2X 2X 2X 2X 2X X 2X X X X 0 X 0 0 X X 2X X 2X 2X 2X 2X 2X 2X 0 X 0 2X 2X 2X 0 X 2X X 0 2X 0 0 X 2X X 2X X 2X 0 X 2X 2X 0 0 2X 0 X 0 X X 2X 0 0 0 0 0 0 2X 0 0 0 0 0 2X 0 X 0 0 0 X X X 2X X 2X X 2X 2X X 0 X 0 0 2X 2X 0 X 2X X 0 X X 0 2X 0 2X 0 X 2X 2X 2X 2X 0 0 0 2X 2X X 2X 0 2X 0 X X 0 X X 2X 2X X 2X X 2X X X 2X X X X 0 X X 0 X 0 2X X 2X X 0 2X 2X X 2X 2X X X 0 0 0 0 0 0 X 0 2X 2X X 0 0 2X 2X 2X X 0 2X 2X 2X X 0 2X X X 0 0 X X 0 0 0 0 2X 0 2X 2X 2X 0 0 X 2X X 2X 0 0 2X 2X 2X 0 2X 2X 2X 0 X X 0 X 2X 2X 2X 0 X 0 0 0 2X 0 X X 2X 0 X X 0 2X 2X X X 2X X 0 2X X X X 0 2X 2X X X X X X 0 0 0 0 0 0 0 X X 2X 0 X 2X X X X X 2X 0 2X 0 2X 2X 2X X 2X 0 2X 0 2X X 2X 0 2X X 0 2X 0 X X X 0 0 X X 0 0 2X 0 2X 2X 2X X 2X 2X 2X X 0 2X 2X 2X 2X 2X X 2X 2X X X 2X X 2X 2X X X 2X 2X X 0 2X 2X 0 2X 2X 0 0 X 2X 0 0 0 2X 2X 2X 2X X generates a code of length 95 over Z3[X]/(X^2) who´s minimum homogenous weight is 165. Homogenous weight enumerator: w(x)=1x^0+76x^165+6x^167+236x^168+168x^170+414x^171+582x^173+670x^174+1146x^176+912x^177+2160x^179+1098x^180+3306x^182+1822x^183+4428x^185+2280x^186+6192x^188+2748x^189+6576x^191+2690x^192+5994x^194+2290x^195+4230x^197+1736x^198+2682x^200+1056x^201+1218x^203+644x^204+528x^206+374x^207+138x^209+208x^210+6x^212+170x^213+6x^215+118x^216+56x^219+50x^222+18x^225+10x^228+6x^231 The gray image is a linear code over GF(3) with n=285, k=10 and d=165. This code was found by Heurico 1.16 in 92.6 seconds.