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 X 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 X 1 1 1 X 1 1 1 1 X 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 X 2X X 2X X 0 2X 2X 0 X 2X X X 0 0 2X 2X X 2X 2X X X X 2X X X 2X 0 0 0 0 0 2X 2X 2X 0 0 X 0 X 0 X 2X 0 X X 2X X 0 0 X X X 0 0 X X 0 X 2X 0 0 0 X 0 0 0 0 0 0 0 0 X 2X 2X 2X 2X 0 X 0 X X 2X X 2X 0 2X 0 X 0 2X 0 2X X X X X 2X X 0 2X X 0 0 0 2X 0 X X X 0 2X 2X X 0 X X 0 0 2X 0 0 X X 2X X 0 X X 0 X 2X X 2X X X 2X X 0 X 2X X 2X X 0 0 0 X 0 0 0 0 X 2X 2X 2X 0 0 X 0 X 2X X 2X 2X 2X 2X 0 0 2X 2X 2X 2X 2X 0 0 0 X 2X 2X 2X 0 0 X 0 X X 0 2X 2X 2X X X 2X 0 X 2X X X X 0 2X 0 0 X 2X 2X 0 2X 0 0 0 0 X X X 2X X 0 2X 0 X X 2X 0 2X 2X 0 0 0 0 X 0 0 X 2X 0 2X 0 0 2X 2X X X X 2X X 0 2X X 2X X X X 2X 2X 2X X 0 0 0 2X 0 2X 2X 0 0 X 0 2X X 0 X X 0 X 0 X X 0 0 X 2X 0 2X 2X 0 X 2X X 0 X 2X 0 2X X 0 2X 0 X X 0 0 X 2X X X 0 2X X 0 0 0 0 0 X 0 2X 2X X 0 2X 2X 2X 2X 2X 2X 0 X 0 0 2X 2X 0 X 0 0 X 2X X X 0 X 2X 0 X 2X 2X X 2X 0 0 2X 0 2X X 0 X 2X 2X 0 X 2X X 2X 2X X 2X X 0 0 2X X 2X 0 0 2X 2X X 2X X 0 X 0 0 X 2X X X 2X 2X 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 2X 2X 2X X 2X 2X X 0 0 0 0 0 2X X 2X 2X 0 2X 2X X 0 2X 0 0 2X 2X X 0 0 0 0 0 X X X 0 2X 0 2X X 2X X 2X 0 X 0 X X X 0 2X 0 0 2X 2X 0 2X 2X 0 0 generates a code of length 83 over Z3[X]/(X^2) who´s minimum homogenous weight is 147. Homogenous weight enumerator: w(x)=1x^0+54x^147+162x^150+222x^153+30x^155+216x^156+180x^158+226x^159+540x^161+190x^162+1110x^164+162x^165+1386x^167+162x^168+864x^170+154x^171+264x^173+128x^174+108x^177+100x^180+94x^183+82x^186+52x^189+40x^192+14x^195+8x^198+6x^201+2x^204+2x^207+2x^228 The gray image is a linear code over GF(3) with n=249, k=8 and d=147. This code was found by Heurico 1.16 in 1.79 seconds.