The generator matrix 1 0 0 1 1 1 1 1 1 1 18 18 1 3 1 1 0 24 1 1 1 1 1 15 1 1 15 1 1 1 12 1 1 1 6 9 1 1 1 1 1 1 24 6 1 1 1 1 1 12 1 1 1 1 0 6 1 21 1 15 1 0 3 1 1 1 1 1 9 9 1 1 1 24 12 21 1 1 1 1 1 1 1 1 1 1 12 1 1 0 1 0 0 9 16 23 14 14 19 1 1 4 3 23 4 1 1 7 11 1 9 12 1 11 21 1 8 2 7 1 10 23 24 18 1 16 9 12 22 17 10 24 1 16 2 15 6 8 1 22 19 17 18 6 1 15 1 11 1 11 3 1 6 14 10 9 24 1 1 2 23 24 15 1 1 6 22 13 19 13 15 15 3 9 10 24 13 6 0 0 1 7 17 8 9 16 20 6 11 19 4 1 26 26 12 26 10 0 9 21 1 1 13 23 7 17 19 11 24 7 24 10 1 17 9 11 6 14 24 19 1 11 6 20 7 3 25 4 3 14 14 4 1 16 8 8 3 4 12 1 14 4 25 22 24 14 22 4 25 21 21 1 3 3 6 17 16 12 6 23 11 13 4 21 1 13 7 0 0 0 9 18 18 0 9 18 0 18 9 9 9 9 0 9 9 0 9 18 9 0 18 0 9 0 0 18 9 18 18 18 18 18 0 9 0 18 9 9 0 0 18 9 9 0 18 18 0 0 9 18 18 9 9 9 0 0 18 9 0 18 0 18 18 0 18 9 0 0 0 9 9 18 9 0 18 0 0 9 0 9 18 9 18 0 18 9 generates a code of length 89 over Z27 who´s minimum homogenous weight is 169. Homogenous weight enumerator: w(x)=1x^0+636x^169+726x^170+2108x^171+3318x^172+2556x^173+4268x^174+5844x^175+3600x^176+4994x^177+5178x^178+3540x^179+4856x^180+4794x^181+2670x^182+3060x^183+2772x^184+1218x^185+1132x^186+1092x^187+210x^188+176x^189+144x^190+24x^191+26x^192+24x^193+24x^194+24x^195+6x^196+6x^197+8x^198+6x^199+6x^200+2x^210 The gray image is a code over GF(3) with n=801, k=10 and d=507. This code was found by Heurico 1.16 in 11.2 seconds.