The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 X 1 1 X 1 1 1 1 X 1 1 1 1 1 1 1 X 1 1 1 X 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 X 2X 2X X X X 0 2X X 2X X 0 X 0 2X X 0 2X X 2X 2X 2X X X X 0 2X 2X 0 0 0 X 2X X 0 X 2X 2X X 2X 2X 2X X 2X X X X 0 2X X X 0 X X 0 2X 2X X 0 X 0 0 0 X 0 X 0 X 2X 2X 0 0 X 2X 2X 2X X 0 0 0 X 0 0 0 0 X 2X 2X 2X 0 0 2X X 2X X 0 X X 0 2X 2X 0 X X 2X 0 X 0 2X 2X 2X X 2X 0 2X 2X X 2X X 2X 2X 2X 0 2X 0 2X 0 X 0 2X 0 X 2X 0 0 X X X 2X X 0 X 0 2X 2X 0 2X X X X 0 0 2X 0 0 X 0 2X 2X 2X X 0 0 0 0 0 0 0 0 X 0 0 X 2X 0 2X 0 0 2X X X 2X 0 X 0 2X 0 2X 2X 0 2X 0 X 2X 2X X X X 2X 0 0 2X 2X X 2X X 0 2X 2X X X X 2X 2X 2X 0 X 2X 0 X X 0 X 0 X X 0 2X X 2X X X 2X 0 X 0 0 2X 0 2X 2X 2X 2X 0 2X 2X 2X 2X 0 0 2X 0 0 0 0 0 0 0 X 0 2X 2X X 0 2X 2X 2X 0 2X 2X 0 2X X 0 2X 2X 0 X 2X 0 2X X 0 X 0 X 0 2X 0 2X 0 2X X 0 2X X 2X X 2X 2X 0 2X 0 X X 0 X X X X 2X 0 2X 0 0 2X X 0 0 X X 2X X 2X X 0 0 0 2X 2X 0 X 2X X 0 X X 2X 0 0 X 0 0 0 0 0 0 X 2X 2X 2X 2X 2X 2X X 2X X X 2X X 2X 2X 2X 2X 0 2X 0 X 0 0 2X X 2X 0 2X X 0 X X 0 X 0 0 X 2X X X X X 0 X X 2X 2X X X 0 2X 2X X X 2X 2X X X X X 2X 2X X 2X 0 X 2X 2X 2X 0 X X 2X 2X X 0 2X 0 X 2X 0 2X 0 generates a code of length 88 over Z3[X]/(X^2) who´s minimum homogenous weight is 162. Homogenous weight enumerator: w(x)=1x^0+48x^162+104x^165+30x^167+108x^168+120x^170+90x^171+300x^173+64x^174+510x^176+60x^177+366x^179+62x^180+132x^182+54x^183+26x^186+20x^189+24x^192+12x^195+14x^198+18x^201+6x^204+6x^207+4x^210+4x^213+2x^216+2x^246 The gray image is a linear code over GF(3) with n=264, k=7 and d=162. This code was found by Heurico 1.16 in 0.286 seconds.