The generator matrix 1 0 0 1 1 1 1 X 1 1 2X 1 1 X 1 2X 0 0 1 1 1 1 1 1 1 1 2X 1 1 1 2X 1 1 X 1 1 0 1 1 1 1 1 0 X X 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 2X X 1 1 1 1 1 1 1 1 0 X 2X 1 0 X 2X 2X X 1 1 1 1 1 0 1 X X X 1 0 0 X 0 1 0 0 0 2X+1 1 1 2X+2 2X+1 1 2 2 1 1 1 1 X 1 2X+1 X 2 2X+2 2X 2X X+2 1 2X+2 2X+2 2X 0 2X+1 0 1 X+1 1 1 2X+2 2X+2 2X 1 X+1 1 0 1 2X 0 2X+1 2X 2 2X+2 1 0 X 1 2X X+2 X+1 X 2X+2 1 1 X+1 2 2X 2X 1 2 X 2X+2 2X 1 1 X 1 1 1 1 1 2X+2 2 2X+2 X X 1 X+2 X 1 1 1 1 1 1 0 0 1 1 2 2X+2 1 X+2 2X+1 2X 1 0 X+2 2X 2X+1 1 X+2 1 0 2X+2 0 X+2 2X 2X+2 X+1 1 2X+2 2 2X+1 X+2 1 2 0 2X X X+1 X+1 2X+1 2X 2X+1 2X 1 X+1 1 2X+2 2X 2X 0 2X+2 2 1 2X+1 X+2 2X+2 2X 1 2X 2X+1 0 2X X+1 2X 2X+2 X+2 1 1 2 X 0 X+2 1 1 2X+1 X 2 X+2 2X+2 1 0 X+1 2X+1 2X+1 2X+2 X+1 X+1 2 1 2X+2 X+2 2X+2 2X+1 1 2 0 0 0 2X 0 0 0 0 0 2X X 2X X X 2X 2X 2X 2X X X X 2X X 2X 0 0 2X 0 X 2X X X 0 X X 2X X 2X 0 X 0 X X 0 0 2X X 2X 0 0 X X X X 2X 2X X 0 0 0 2X 0 0 0 0 0 2X X 2X 2X X X 0 2X X X X 0 2X 2X 0 X 0 X 2X 2X 0 2X 2X 0 0 2X 0 0 0 0 0 X X X 0 X 0 X 0 2X X 0 2X 2X 2X 2X 2X X 2X 0 2X 2X 2X 0 2X X X 2X 0 2X 0 X 2X 0 2X 2X 0 0 0 2X 2X 2X 2X 2X X 0 X 0 X X 0 0 X 2X 2X X 0 X X 0 0 0 X X X 0 X 0 2X 0 X 2X X 2X X 2X 0 X 2X 0 X 0 0 X 0 X 0 X X 0 generates a code of length 93 over Z3[X]/(X^2) who´s minimum homogenous weight is 175. Homogenous weight enumerator: w(x)=1x^0+222x^175+318x^176+106x^177+450x^178+522x^179+116x^180+528x^181+492x^182+126x^183+318x^184+324x^185+110x^186+360x^187+390x^188+76x^189+330x^190+264x^191+68x^192+240x^193+198x^194+60x^195+216x^196+210x^197+28x^198+138x^199+102x^200+22x^201+66x^202+78x^203+10x^204+36x^205+12x^206+4x^207+12x^208+6x^209+2x^240 The gray image is a linear code over GF(3) with n=279, k=8 and d=175. This code was found by Heurico 1.16 in 39.9 seconds.