The generator matrix 1 0 1 1 1 1 1 1 18 1 1 0 1 1 1 21 1 1 1 1 15 1 1 1 18 1 1 24 1 1 1 12 1 1 1 1 6 1 1 1 12 1 1 6 1 24 1 1 1 6 1 1 1 3 1 1 1 1 1 9 1 1 6 1 1 1 1 1 1 1 1 1 3 1 1 1 1 18 21 1 1 1 1 1 3 1 1 1 3 0 1 1 26 18 17 0 25 1 4 26 1 13 8 22 1 24 23 1 21 1 22 20 9 1 16 1 1 21 20 24 1 5 12 11 6 1 23 26 10 1 11 16 1 22 1 3 22 0 1 19 21 6 1 3 5 9 25 5 1 16 1 1 26 9 0 21 11 19 6 3 3 1 24 2 24 6 1 1 16 9 8 25 4 1 21 3 11 1 0 0 24 9 21 12 6 3 3 0 24 24 18 21 3 9 15 18 12 9 3 24 6 3 15 15 21 9 6 18 9 12 24 12 3 12 0 3 6 18 15 9 0 24 15 12 15 21 18 15 9 21 24 0 0 9 0 6 15 12 12 6 18 18 12 24 3 15 0 21 24 9 24 0 12 6 9 9 3 18 15 12 21 9 18 24 12 21 6 generates a code of length 89 over Z27 who´s minimum homogenous weight is 173. Homogenous weight enumerator: w(x)=1x^0+720x^173+570x^174+534x^175+1098x^176+444x^177+570x^178+606x^179+344x^180+174x^181+618x^182+238x^183+180x^184+330x^185+92x^186+18x^188+6x^194+6x^198+6x^200+4x^204+2x^210 The gray image is a code over GF(3) with n=801, k=8 and d=519. This code was found by Heurico 1.16 in 18.6 seconds.