The generator matrix 1 0 0 1 1 1 1 1 9 1 1 1 15 1 1 1 1 3 1 1 24 1 1 12 18 0 1 1 1 1 6 1 1 1 1 12 1 24 1 1 1 1 1 21 1 24 1 1 1 1 1 1 1 21 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 12 6 1 1 1 1 18 15 1 1 1 1 1 12 1 15 0 1 0 18 1 19 23 21 1 4 5 26 1 9 22 7 20 1 16 11 1 24 17 1 1 15 20 3 15 3 1 2 17 13 25 18 19 1 11 6 1 23 14 1 22 1 16 8 3 9 16 10 17 1 8 10 24 14 20 22 1 14 11 8 18 12 15 1 9 15 24 1 1 7 13 13 18 1 6 21 6 23 7 6 3 14 1 0 0 1 16 25 18 17 8 22 5 22 6 20 21 7 9 23 0 14 10 13 26 11 14 12 1 12 25 0 4 14 15 13 8 6 1 19 25 2 20 14 1 23 25 22 24 25 12 23 10 1 3 26 20 18 20 24 3 9 15 22 6 7 7 11 1 10 21 22 4 23 15 26 12 12 2 14 24 1 15 16 25 20 15 1 11 16 generates a code of length 87 over Z27 who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+1074x^168+1968x^169+1140x^170+2408x^171+2724x^172+966x^173+1538x^174+1374x^175+624x^176+1512x^177+1260x^178+402x^179+882x^180+726x^181+246x^182+436x^183+360x^184+18x^185+4x^186+6x^187+6x^191+6x^193+2x^195 The gray image is a code over GF(3) with n=783, k=9 and d=504. This code was found by Heurico 1.16 in 50.6 seconds.