The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 2X 1 1 1 2X 0 1 1 1 1 1 0 1 X 1 1 2X 1 0 1 X 1 1 1 0 X X 1 1 X 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 2X 2X 1 1 1 1 X 0 1 1 1 1 1 1 1 2X 0 1 0 0 2X 0 X X 2X 2X 2X 2X 2X+1 1 X+2 1 2X+1 X+2 2X+2 1 1 2X+1 X+1 2 1 1 1 2X+2 2X+2 X+1 2X+1 1 2X+2 1 X+2 1 X X+1 1 2 0 X 2X+1 0 X 1 1 X+2 2X 2X 2 X+2 2X+2 0 1 2X+1 2 X+2 1 1 2 0 1 2X+2 X 1 2X X 2 2 X 1 2X+1 1 1 0 X+2 X 1 2X+1 0 2X X+1 1 1 1 0 2X 1 0 2X+1 2 1 0 0 1 0 0 X 2X+1 2 2X+1 2 X+1 X+2 2X+2 2 2X+2 X 2 X+2 X+2 2X X+2 2X 1 0 X+1 2X+1 X+1 0 2X 0 X X+1 2X+1 2X+2 2X+1 1 1 X+1 2X+2 2X 1 X+2 1 1 1 X+2 2X+2 1 2X+2 1 X+2 2X+2 X+1 2X+1 X+2 X+2 2X+2 X+1 X 2X+1 X X 0 X X X+2 1 2X+2 X 2X+1 0 0 X+1 1 X 2X+2 2 X 1 0 2X+2 X X X+2 2X 2X+2 X+1 2X+1 2X+1 0 X X+2 X 0 0 0 1 2X+1 2X+2 2X+1 1 2X+2 0 X 2 X+2 X+1 X+1 2X+2 2X X+2 0 X+1 1 X 2X+1 X+1 2 1 X+2 X 2X+2 2 X+1 2X X+2 X X 0 2 1 2 2X+1 X+1 X 2X+2 X X 2X+1 2X X+1 2 X+2 X 2X+1 2X+2 X+2 2X X+2 X+2 2X 2 2 0 2X+1 X+2 X+2 X X+1 1 1 X+1 2X+1 2 1 2 2 2X 1 2X+2 1 2X+2 0 2X+2 2X+1 2 2X+2 X+1 1 X+2 X+1 1 2X 0 X+2 2X+1 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+198x^175+228x^176+124x^177+456x^178+504x^179+122x^180+510x^181+570x^182+102x^183+450x^184+474x^185+112x^186+330x^187+330x^188+72x^189+294x^190+246x^191+74x^192+222x^193+198x^194+30x^195+198x^196+186x^197+30x^198+90x^199+72x^200+34x^201+90x^202+54x^203+22x^204+42x^205+42x^206+24x^208+12x^209+6x^210+12x^211 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 1.05 seconds.