The generator matrix 1 0 0 0 0 1 1 1 2X 1 1 1 1 1 0 1 0 1 1 X 1 1 0 1 1 X 1 1 1 1 X 1 1 X 1 1 1 X 1 0 1 1 1 1 1 2X X 1 1 2X 1 0 0 1 1 1 X 0 1 1 1 1 1 1 1 1 1 2X 1 1 X 0 1 1 1 1 1 1 2X 1 1 1 2X 1 0 1 0 0 0 2X 1 2X+1 1 0 X 2X+2 2 1 1 2X+2 1 2 1 1 2X+1 X+2 0 2X X 1 X+1 X+2 2X+1 0 0 X+1 X+2 1 2X X+1 2X 1 2X+2 1 X+1 X X+2 0 2X 1 1 2X+1 0 1 2X 1 1 1 2X+1 2 1 X 1 X X+1 2X 2 2X+2 2X+2 0 1 1 X+2 2X+2 1 2X X+1 2X+2 2X+2 2X+2 X 2 2X 2 1 2X 1 2X+1 0 0 1 0 0 0 0 0 0 X X X X 2X 2X 2X X 2X 2X X 2X 2X 2X 2X 2X 2 X+2 2X+1 X+2 X+2 1 2X+1 2X+1 2X+2 2 X+1 1 2X+1 X+1 1 X+2 X+1 2X+2 2X+1 1 2X+1 2 2X+1 1 2X+2 X+2 X+2 X 2X+2 2X+1 2X+1 1 1 2X+1 2X+1 0 2 2 X+1 X+2 X+2 2X+2 2X+2 X+2 2X X+1 1 X+2 X 2 1 2X+2 2X 1 2 2 0 2X+2 X+2 0 0 0 1 0 2X+1 1 2X+2 X+1 X+1 X+2 2X 2X+1 0 2 X+2 2 2X+2 2X 1 X+2 X 1 0 2 X+1 2 2X X+1 2X X+1 X+1 2X+1 2X+2 X+2 2X+2 2 X+1 1 2X X+2 0 X X 2X+2 2X+1 X X+2 2X+2 2 1 1 0 X+1 X X+2 2X+2 0 1 2 2 2X+1 X+1 1 X+1 2 0 X+2 2X+2 2 2X+1 X+2 X 2 2X 0 2X X 1 X 2X X+2 2X X+2 0 0 0 0 1 2X+2 X X+2 X+2 2X+1 X X+1 2X X+1 2X+1 2X+2 0 2X 0 2X+1 2X+1 2 2X+1 2 2X+1 0 2X X X+1 1 2 2X+2 X+1 X 2X+2 X 2X+1 2X+2 2 2X X+2 2X X+1 X+2 X 2X+1 2X+1 1 X+2 2X+2 2X X+2 X+1 2X 2X+2 0 1 1 X+1 2X+2 X 1 2X+2 2X 2X+1 0 X 1 X+2 X+1 2X+1 2 2X+2 0 0 X 2X X+1 0 X+2 2 2X+2 2X+2 2 generates a code of length 84 over Z3[X]/(X^2) who´s minimum homogenous weight is 151. Homogenous weight enumerator: w(x)=1x^0+132x^151+372x^152+452x^153+714x^154+1098x^155+1278x^156+1104x^157+1806x^158+1732x^159+1746x^160+2208x^161+2368x^162+2034x^163+2766x^164+2512x^165+2514x^166+3072x^167+2972x^168+2454x^169+3048x^170+2794x^171+2442x^172+2946x^173+2192x^174+2112x^175+2328x^176+1680x^177+1236x^178+1278x^179+1114x^180+732x^181+660x^182+402x^183+210x^184+210x^185+144x^186+48x^187+78x^188+26x^189+18x^190+6x^192+6x^195+4x^198 The gray image is a linear code over GF(3) with n=252, k=10 and d=151. This code was found by Heurico 1.16 in 78.8 seconds.