The generator matrix 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 X 1 1 1 1 0 1 1 1 1 X 1 1 X 1 1 1 2X 1 1 0 1 1 1 X 1 1 1 X 1 1 1 2X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 2X 1 X 1 1 1 2X 1 1 2X 1 1 1 1 1 1 1 1 1 0 1 1 2X X 1 1 0 1 1 2 0 1 2 1 2X+1 1 0 2 X+2 2X+1 0 1 1 0 2 2X+1 0 1 2 2X+1 2 X 1 1 2X 1 X+2 2X 2X+1 1 2X+1 X 1 1 X+2 0 1 2X+2 2X 2X+1 1 2X+2 X+2 2X+1 1 X+1 2X 0 2X+2 2 X+1 X+2 2X+2 X+1 X 0 X+2 1 X+2 2X X+2 X+2 1 2X+2 1 X+2 1 2X X+2 2X+1 1 X+1 X+1 1 2X 1 0 X+1 1 1 2X+2 X+2 X+1 1 X 2 1 1 2 2 0 0 2X 0 0 0 0 0 0 0 2X X X 2X 2X 2X 2X 2X 2X X 2X X 0 2X X 2X 0 X X 2X X 2X 0 0 X X X X 2X 2X 2X X 0 2X X X X X 2X 2X 2X X X 0 0 2X 2X 2X 0 2X X X 2X 0 2X 0 X X 0 X 0 2X 0 X 2X X 2X X X 0 0 0 X X 2X 0 2X X 0 2X 2X X 2X X 0 0 0 X 0 0 0 X 2X X 0 2X X 2X 2X 0 2X 2X 0 0 2X 2X 2X X X 0 X 0 X 0 2X X 2X 0 2X X X X X X 2X 2X X X 2X 0 2X 2X X 0 0 0 X X 0 2X X 0 0 X 0 0 0 2X 0 X X 0 0 0 2X X 2X X X X 0 0 2X 0 X 2X 0 2X X 0 2X 0 2X X 2X 2X 0 X 0 0 0 0 X 0 X X X X X 2X 0 X X 0 2X 0 0 0 X 0 0 X 2X 2X 2X 2X X 2X 0 X X X 2X 2X X 0 0 2X 0 0 2X 0 X 2X X 0 0 X 2X 0 2X 0 0 0 X 0 0 X 2X 2X 2X 2X 2X 2X X X X X 0 X X 2X 2X 0 X 0 0 2X X 0 X X X X 2X X 0 0 X 0 X X 0 0 0 0 0 2X 2X 0 2X X 0 2X X X 2X 2X X X 2X 0 0 0 X 0 0 2X 2X 2X 2X 2X X X X 2X X X 0 2X X 0 0 2X X 0 0 0 X 0 0 0 0 X X 2X X 2X X 2X 2X 2X 2X X 2X 0 X 0 X X 0 2X X 0 2X 0 2X 0 X 0 0 X 0 0 X 2X 2X X X 2X X 0 0 X 0 0 generates a code of length 94 over Z3[X]/(X^2) who´s minimum homogenous weight is 174. Homogenous weight enumerator: w(x)=1x^0+58x^174+216x^176+238x^177+420x^179+322x^180+594x^182+252x^183+642x^185+304x^186+690x^188+220x^189+648x^191+230x^192+552x^194+192x^195+330x^197+150x^198+216x^200+82x^201+48x^203+56x^204+18x^206+24x^207+18x^210+8x^213+8x^216+6x^219+12x^222+4x^225+2x^237 The gray image is a linear code over GF(3) with n=282, k=8 and d=174. This code was found by Heurico 1.16 in 1.21 seconds.