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 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 X 1 1 1 X 1 1 1 1 X 1 1 1 0 X 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 X 0 0 X 2X 2X X 2X 2X X 0 0 2X 2X 0 X 2X 2X 0 X 0 2X X 2X X 2X 0 0 X 2X X X 0 0 0 X 0 2X X 0 2X 0 X X 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 2X 0 X 0 2X 2X 0 X 0 X X 0 0 0 X 2X 2X 0 2X 2X 0 2X 2X 2X 2X X X 0 X 0 2X X 0 X 2X X 2X 2X 2X X 2X X X X X 0 2X 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 2X X X 2X 0 2X X 2X 0 2X 0 2X X 2X 0 2X 2X 0 X 0 X X 2X 0 X 0 X X 0 X X 0 0 X 0 0 2X 2X 0 2X 0 X 2X X 2X X 2X 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 X 0 2X 2X X 2X 2X 0 X 0 2X 2X X 2X 0 0 X 2X 0 X 0 0 2X 2X X 0 X 2X 0 2X 2X 0 0 2X X X 0 2X 0 0 X 2X 2X 2X 0 0 X X 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 X 0 X 2X 0 2X X X X X 0 X 2X 0 2X X 2X 0 X X X X 0 X X X 2X 2X X X 2X 2X X 0 2X 2X 2X X X 0 2X 2X 0 X 2X 2X 2X 0 generates a code of length 87 over Z3[X]/(X^2) who´s minimum homogenous weight is 162. Homogenous weight enumerator: w(x)=1x^0+106x^162+24x^164+98x^165+114x^167+118x^168+240x^170+80x^171+390x^173+76x^174+426x^176+62x^177+192x^179+38x^180+72x^182+20x^183+28x^186+18x^189+22x^192+20x^195+12x^198+14x^201+4x^204+6x^207+2x^210+2x^213+2x^237 The gray image is a linear code over GF(3) with n=261, k=7 and d=162. This code was found by Heurico 1.16 in 17.4 seconds.