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 X 1 1 X 1 1 X 1 X 1 1 1 1 X 1 1 X X 1 1 1 1 1 1 1 X 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 X 0 X X 2X 0 0 0 2X X 0 2X X 0 0 0 X X 2X X 0 X 0 2X 0 2X 2X X 0 X X X X 2X X 2X X X 0 0 0 X 0 2X 0 2X 0 2X 2X 2X X X 0 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 0 X 0 X X 2X 0 0 X 2X X X 0 0 0 2X 0 0 X 2X 2X 2X 2X 2X 2X X 0 X X X 2X 2X X 2X X 0 2X 2X X 2X 0 2X X X 0 X 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 2X 0 2X 0 2X X 0 X 0 X X 2X 2X 0 0 X 0 0 X X 2X 2X X 2X 2X 0 X 2X 0 X X X 0 2X 0 0 0 2X 2X X X 0 X X 0 0 2X 0 0 2X 2X 2X 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 0 2X 2X X X 2X X 0 X 2X X 0 2X 2X X X X 0 2X 0 0 0 0 2X 2X 0 X 0 0 2X X 0 2X 2X 2X 0 X 0 X X X 2X 0 X X X X 2X 0 X X 0 X 0 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 0 2X 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 0 X X 0 0 0 2X X X 0 X 0 X X X 2X 0 2X X X 2X 0 2X 2X X X 0 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 X 0 2X X 0 X 0 0 X 2X X X X X 0 X X 0 2X 2X 0 2X 2X 0 0 0 2X 0 2X X 0 0 0 0 X 2X 2X 0 0 2X X 2X 2X X 2X X X X 2X 2X 0 0 0 0 generates a code of length 94 over Z3[X]/(X^2) who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+40x^168+154x^171+190x^174+6x^175+240x^177+78x^178+236x^180+324x^181+182x^183+726x^184+162x^186+1158x^187+158x^189+1242x^190+138x^192+672x^193+122x^195+168x^196+112x^198+102x^201+76x^204+80x^207+64x^210+48x^213+30x^216+24x^219+12x^222+10x^225+2x^228+2x^234+2x^258 The gray image is a linear code over GF(3) with n=282, k=8 and d=168. This code was found by Heurico 1.16 in 2.04 seconds.