The generator matrix 1 0 0 0 1 1 1 18 1 1 1 1 1 1 1 15 1 1 1 1 3 1 1 1 1 1 1 1 1 21 3 1 1 1 9 1 12 18 15 12 1 1 1 1 1 18 24 1 1 1 24 1 1 1 1 21 1 1 1 3 18 1 1 1 1 12 6 1 1 1 18 1 1 1 1 1 1 1 3 6 1 1 1 24 1 0 1 0 0 18 1 19 1 18 0 26 11 17 1 13 1 22 14 24 21 1 23 24 10 12 2 16 25 14 0 1 2 25 3 1 23 1 1 1 12 26 15 3 8 22 18 1 24 9 19 1 11 25 13 2 1 17 7 8 15 1 8 5 20 24 1 1 13 4 13 12 10 22 21 24 3 20 22 1 1 15 6 20 1 0 0 0 1 0 16 25 14 7 4 23 12 10 26 18 8 7 22 24 0 11 20 26 14 19 4 20 12 18 21 1 24 4 14 21 5 19 12 19 20 1 18 0 16 11 11 1 11 24 17 3 22 11 1 0 18 16 15 8 13 1 24 21 13 4 3 13 4 20 14 18 12 7 15 5 15 15 19 21 12 17 2 17 16 3 7 0 0 0 1 14 9 5 5 22 24 1 6 3 12 4 4 2 11 1 22 6 17 17 13 24 25 16 20 15 13 10 17 0 26 11 19 23 0 1 8 14 7 19 26 7 17 15 23 10 6 2 4 24 2 19 15 15 11 8 16 15 20 10 5 13 16 14 14 3 10 1 5 10 6 18 26 22 11 20 11 13 13 16 7 20 generates a code of length 85 over Z27 who´s minimum homogenous weight is 158. Homogenous weight enumerator: w(x)=1x^0+1230x^158+2506x^159+4812x^160+7938x^161+10752x^162+13368x^163+19584x^164+25004x^165+27018x^166+36750x^167+41310x^168+39846x^169+49878x^170+49948x^171+43200x^172+43206x^173+36242x^174+25704x^175+21924x^176+13976x^177+7866x^178+5082x^179+2492x^180+828x^181+438x^182+188x^183+102x^184+54x^185+54x^186+36x^187+48x^188+8x^189+24x^190+6x^191+12x^192+6x^193 The gray image is a code over GF(3) with n=765, k=12 and d=474. This code was found by Heurico 1.16 in 741 seconds.