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 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 1 X X 1 1 X X X 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 X 0 0 X 0 2X 0 X 2X 2X X X X 2X 2X 2X 0 X 0 X 0 X 0 2X 2X 2X 0 0 0 2X 2X 2X 0 X 2X 2X 0 X 2X 0 2X 0 0 X X 2X 2X 0 0 0 X X 2X 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 X 2X X 0 X 0 2X X X 2X 0 0 0 2X 2X X X 2X 0 0 2X X 0 X 2X X 0 2X 0 2X 2X 0 0 0 0 2X 0 X 0 2X 2X 0 0 2X 2X X 2X 0 X 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 X 2X X 2X 0 X 0 0 2X 0 X X 2X X X 2X X 0 X 0 X 0 2X X X 0 0 X 2X 2X 2X 0 0 2X 0 2X X X 2X 2X X 2X 0 X 2X 0 0 2X 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 2X 2X 0 0 X X 2X 0 X X 2X X X X X 0 X 0 X 0 X X 0 0 0 2X 2X 2X 0 X 2X X 2X 2X X 0 0 2X 2X X 2X 0 0 X X 2X X 2X 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 X 2X 2X X X 0 0 0 0 0 0 2X 2X 2X 0 0 0 X 0 X 2X 0 X 0 X X 0 2X 2X 0 0 X 0 X 2X X 0 X 0 X X X 0 X X 2X 2X 2X X 0 generates a code of length 93 over Z3[X]/(X^2) who´s minimum homogenous weight is 174. Homogenous weight enumerator: w(x)=1x^0+110x^174+24x^176+126x^177+114x^179+86x^180+240x^182+78x^183+390x^185+70x^186+426x^188+62x^189+192x^191+30x^192+72x^194+36x^195+20x^198+30x^201+24x^204+12x^207+16x^210+8x^213+8x^216+4x^219+6x^222+2x^255 The gray image is a linear code over GF(3) with n=279, k=7 and d=174. This code was found by Heurico 1.16 in 36.9 seconds.