The generator matrix 1 0 1 1 1 1 1 1 21 24 1 1 1 1 0 1 1 24 1 1 1 1 3 1 1 15 1 21 1 1 1 1 1 1 1 0 1 1 21 1 1 21 1 1 1 15 1 1 1 12 1 1 18 1 1 1 1 1 1 24 1 6 1 1 1 1 1 1 1 18 1 0 1 1 0 1 15 1 1 12 1 1 15 1 1 24 18 18 1 0 1 1 26 21 24 20 23 1 1 16 4 18 17 1 1 3 1 20 25 22 15 1 23 26 1 21 1 14 16 19 24 20 25 20 1 0 18 1 26 21 1 0 13 25 1 21 2 19 1 24 16 1 10 16 0 16 21 19 1 22 1 12 15 22 6 24 5 19 3 9 1 22 23 1 16 1 6 21 1 11 8 1 2 22 1 3 1 24 0 0 24 0 0 9 18 0 9 9 15 24 21 12 6 3 21 24 15 3 12 21 21 6 24 12 6 24 12 24 6 15 6 21 9 6 15 12 0 15 9 15 0 9 0 21 9 12 9 24 6 0 21 12 24 24 9 3 9 24 12 12 3 3 6 18 3 0 24 24 18 0 12 21 3 3 18 3 3 21 15 21 9 15 0 9 15 3 6 0 0 0 9 0 0 0 18 9 18 18 9 18 0 0 0 9 18 0 18 9 0 0 18 0 18 0 9 9 9 9 18 18 18 9 18 18 18 0 9 18 0 9 0 18 9 18 18 18 0 9 0 18 9 0 18 9 9 9 9 0 9 18 9 18 18 9 18 0 9 9 0 0 9 0 9 18 0 0 18 18 9 18 9 9 9 18 0 0 0 0 0 0 18 9 9 18 9 18 0 0 18 0 9 0 9 18 0 9 18 9 18 9 9 0 9 18 0 9 18 9 18 0 9 9 18 0 18 0 0 18 0 9 9 9 18 9 0 0 0 0 9 9 9 0 0 9 9 9 9 18 9 18 9 9 0 9 18 9 9 18 18 9 9 9 9 9 18 18 0 18 0 18 18 18 9 0 18 generates a code of length 89 over Z27 who´s minimum homogenous weight is 167. Homogenous weight enumerator: w(x)=1x^0+318x^167+420x^168+450x^169+1944x^170+1490x^171+1728x^172+3588x^173+3362x^174+3348x^175+5202x^176+4416x^177+4608x^178+6558x^179+5020x^180+3942x^181+4572x^182+2458x^183+1674x^184+1806x^185+692x^186+288x^187+450x^188+216x^189+192x^191+80x^192+60x^194+50x^195+66x^197+14x^198+18x^200+12x^203+2x^204+4x^210 The gray image is a code over GF(3) with n=801, k=10 and d=501. This code was found by Heurico 1.16 in 14 seconds.