The generator matrix 1 0 1 1 1 1 1 21 1 1 24 1 1 1 1 1 0 1 1 1 21 1 1 24 1 1 1 24 1 1 1 0 1 21 1 1 1 1 1 1 1 24 1 1 9 1 1 1 1 1 1 1 1 1 1 1 1 1 21 1 12 1 1 0 1 1 9 6 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 7 26 21 4 20 1 19 24 1 23 26 16 0 4 1 19 21 20 1 23 24 1 16 26 19 1 23 21 0 1 4 1 16 20 24 26 0 5 21 1 19 24 1 12 20 11 23 16 11 6 8 10 25 5 10 9 1 18 1 10 10 1 5 6 1 1 1 26 16 4 13 13 6 6 1 13 25 6 11 12 1 6 25 0 0 0 9 0 0 0 18 9 18 9 9 9 9 0 18 0 0 9 9 18 0 18 9 0 18 18 18 9 9 0 9 0 0 9 0 18 18 9 0 18 9 9 18 9 0 0 9 0 0 18 9 18 0 18 0 18 9 0 9 18 18 9 0 18 0 0 18 0 18 9 18 18 9 18 9 18 9 9 9 0 18 18 0 9 18 0 0 0 0 9 0 9 9 9 18 18 0 18 0 9 9 0 9 9 0 9 18 9 0 18 9 0 0 18 0 9 9 9 18 9 0 18 18 9 18 0 9 9 18 0 0 9 18 9 18 0 9 0 18 0 18 0 0 0 18 9 9 18 0 9 0 0 18 9 18 0 18 9 9 0 18 18 18 9 9 9 0 9 0 9 0 0 0 0 0 0 18 18 0 18 18 9 18 18 9 9 9 9 0 0 0 18 9 9 18 0 0 18 0 9 18 0 9 9 18 0 18 18 9 18 0 9 0 9 0 9 9 18 9 9 9 18 9 9 0 9 9 0 18 9 18 18 0 0 18 18 9 18 18 0 0 18 0 9 18 9 0 18 18 0 9 0 18 0 0 0 0 0 generates a code of length 86 over Z27 who´s minimum homogenous weight is 162. Homogenous weight enumerator: w(x)=1x^0+80x^162+54x^163+540x^164+566x^165+576x^166+1782x^167+910x^168+810x^169+2124x^170+1252x^171+1314x^172+2628x^173+1326x^174+1152x^175+2376x^176+586x^177+432x^178+738x^179+166x^180+36x^181+18x^182+120x^183+68x^186+16x^189+2x^192+2x^195+4x^198+2x^207+2x^228 The gray image is a code over GF(3) with n=774, k=9 and d=486. This code was found by Heurico 1.16 in 1.78 seconds.