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 3 1 1 1 1 1 1 1 1 1 3 1 1 1 0 1 1 1 1 1 1 1 3 3 1 1 1 1 0 3 1 1 1 1 0 3 24 0 21 24 9 21 6 0 21 24 18 12 15 24 21 0 18 24 3 15 6 18 21 3 0 3 18 3 24 18 24 9 3 24 9 18 3 6 12 15 12 6 18 6 12 9 0 0 12 18 21 18 15 21 6 0 6 3 15 0 24 0 18 9 3 18 6 9 6 12 0 18 21 24 0 15 6 3 3 24 6 21 12 24 0 0 9 0 0 0 0 0 18 0 18 18 0 9 0 9 9 0 0 9 0 18 0 0 18 9 9 18 9 0 9 18 18 18 9 18 9 9 0 9 0 9 0 9 0 9 9 18 18 9 0 9 18 9 9 18 18 0 18 18 18 18 0 9 0 18 9 18 18 0 9 0 9 18 0 18 0 0 18 18 0 0 18 18 0 18 0 0 0 9 0 0 18 0 0 9 18 18 9 9 9 0 18 18 9 9 9 18 0 9 9 18 18 0 18 0 18 9 18 18 9 18 18 0 0 9 18 18 9 9 0 18 9 0 18 18 9 18 9 0 0 0 9 9 18 9 0 9 18 0 0 18 0 18 0 0 0 18 0 0 0 9 0 18 9 0 18 18 0 18 18 18 0 0 0 0 18 0 0 9 0 18 18 9 9 18 18 9 9 0 9 0 18 0 18 0 9 9 18 18 9 18 18 9 9 18 0 0 9 0 18 9 0 18 0 0 18 0 9 18 18 18 9 0 9 0 18 18 9 18 18 18 0 18 0 0 9 0 18 0 18 9 18 18 9 0 9 9 0 0 0 9 0 18 18 0 18 18 0 0 0 0 0 9 0 0 18 18 0 18 9 0 9 18 9 9 18 18 9 0 18 18 9 0 0 0 9 9 0 18 9 18 18 18 18 18 18 18 9 18 0 9 9 0 9 9 0 9 9 18 0 0 9 18 18 0 0 9 0 18 9 9 18 18 0 0 9 0 18 9 9 0 0 0 9 0 18 18 9 18 0 18 18 9 generates a code of length 86 over Z27 who´s minimum homogenous weight is 159. Homogenous weight enumerator: w(x)=1x^0+144x^159+78x^160+6x^161+446x^162+198x^163+66x^164+436x^165+402x^166+192x^167+1486x^168+1134x^169+342x^170+4316x^171+2154x^172+474x^173+4366x^174+1458x^175+294x^176+446x^177+138x^178+84x^179+322x^180+96x^181+194x^183+84x^184+120x^186+54x^187+60x^189+36x^190+20x^192+14x^195+10x^198+2x^201+4x^204+2x^207+2x^210+2x^237 The gray image is a code over GF(3) with n=774, k=9 and d=477. This code was found by Heurico 1.16 in 10.4 seconds.