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 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 X 1 1 X 1 1 1 1 1 X 1 1 X X X 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 2X 2X X 2X 2X 2X X 2X 2X X X X 0 X X X 2X 0 0 2X X X 2X 0 2X 0 X X X 2X 0 0 0 2X X 0 2X X 0 0 0 X X 2X X 0 X 0 2X 2X 2X 0 X X 0 2X X 2X X X X 2X 2X 0 2X X X 0 0 0 X 0 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 X 2X 2X 2X 2X 0 X 0 X X 2X 2X 0 X X 2X 2X 2X 2X 2X 2X X 2X 0 X 2X 0 2X 0 X X 0 2X 0 X X 0 0 X X 2X 0 0 X 2X X X 0 0 0 2X 0 0 2X 2X X 2X 2X 2X 2X 2X 2X 2X 0 X 2X 2X X 0 0 2X 0 X 0 0 2X X 0 2X 0 0 0 0 0 X 0 0 0 0 X 2X 2X 2X 0 0 X 0 X 2X X 2X 2X 2X 0 X X 0 2X X 0 0 0 X X X 2X 2X 2X 0 X 0 0 2X 2X 0 2X X X 0 0 X X 2X 2X 0 0 X 0 0 X X 2X 2X X 2X X 0 2X X 0 X X X 0 0 2X 0 X X 0 2X 2X 0 2X 2X 2X 2X 2X 0 2X X 2X 0 0 0 0 0 X 0 0 X 2X 0 2X 0 0 2X 2X X X X 2X X 0 2X 2X X 0 0 0 X 0 0 2X X X X 0 0 2X 0 2X 2X 2X 0 2X X X 2X 0 X X 2X X 0 2X 2X X X X 0 2X 0 0 0 0 2X X 0 2X 2X 0 0 X X X X 0 X X 0 0 0 2X X X 2X 0 0 X X X 0 X 2X 0 0 0 0 0 X 0 2X 2X X 0 2X 2X 2X 2X 2X 2X 0 X 0 0 2X 0 2X X X 2X 2X X 0 0 2X 2X 2X 2X 0 0 2X X 0 2X 0 2X X 2X 0 X X 2X X 0 0 2X 2X 0 X X X 0 X X 0 X 2X 0 0 0 X 0 2X 0 0 2X 2X X 2X X 2X 2X 0 0 0 0 0 X 2X 2X 0 0 2X X 2X 0 0 0 0 0 0 X 2X 2X 2X 2X 2X 2X X X X 0 2X 0 0 X 0 2X X X X X 2X 0 0 X 2X 0 X 2X 2X X X 2X 2X 0 X 2X X 0 X 0 0 X 2X X X X X 0 X X 0 2X 2X 0 2X 2X 0 2X 0 0 X 2X 2X X 0 0 X 2X 2X X X X X X 2X 2X X X 0 2X 2X X X 0 2X generates a code of length 92 over Z3[X]/(X^2) who´s minimum homogenous weight is 165. Homogenous weight enumerator: w(x)=1x^0+82x^165+148x^168+218x^171+24x^173+248x^174+180x^176+188x^177+576x^179+192x^180+1086x^182+180x^183+1332x^185+162x^186+936x^188+154x^189+240x^191+106x^192+88x^195+88x^198+98x^201+88x^204+62x^207+22x^210+24x^213+12x^216+14x^219+4x^222+2x^225+4x^228+2x^255 The gray image is a linear code over GF(3) with n=276, k=8 and d=165. This code was found by Heurico 1.16 in 2.05 seconds.