The generator matrix 1 0 1 1 1 1 1 1 0 1 18 1 1 1 1 24 1 21 1 1 3 21 6 1 1 1 1 1 1 1 1 1 1 1 1 0 1 6 1 1 1 1 1 1 12 18 21 1 1 0 1 1 21 1 1 1 3 1 15 1 1 24 1 15 18 6 9 1 1 1 1 1 1 1 15 1 15 1 3 0 1 6 1 1 1 1 1 1 0 1 0 1 1 26 21 20 16 24 1 22 1 17 5 16 18 1 4 1 26 0 1 1 1 20 6 23 19 25 0 12 14 19 21 8 20 1 2 1 1 15 25 2 6 26 1 1 1 4 21 1 18 24 1 19 12 25 1 23 1 8 24 1 12 1 1 1 1 2 1 25 10 5 24 14 1 23 1 16 1 1 16 1 8 22 16 13 9 18 18 26 0 0 24 0 18 18 9 0 6 21 21 21 15 6 12 15 24 15 24 15 21 0 3 15 24 0 18 18 15 3 21 24 15 9 15 24 12 0 3 9 21 0 3 6 18 21 3 3 24 3 18 12 9 9 3 21 24 3 24 12 9 3 0 18 9 0 24 12 3 15 9 21 21 18 21 18 21 0 24 15 21 9 12 3 9 0 6 15 3 9 0 0 0 9 9 0 18 18 18 9 9 0 0 18 0 0 9 9 18 0 0 18 18 9 18 18 0 18 9 9 18 9 0 0 18 0 9 0 18 9 0 9 0 9 9 0 9 18 18 18 18 18 0 9 0 9 0 0 9 9 0 9 18 18 9 18 9 18 9 9 18 0 9 9 9 0 18 0 18 0 18 0 18 0 9 0 0 18 9 9 generates a code of length 90 over Z27 who´s minimum homogenous weight is 172. Homogenous weight enumerator: w(x)=1x^0+300x^172+606x^173+838x^174+1218x^175+1632x^176+1536x^177+1680x^178+1752x^179+1488x^180+1776x^181+1320x^182+1410x^183+1176x^184+1032x^185+598x^186+486x^187+300x^188+192x^189+108x^190+78x^191+2x^192+36x^193+42x^194+2x^195+12x^196+18x^197+12x^199+6x^200+12x^203+4x^204+2x^207+6x^209+2x^213 The gray image is a code over GF(3) with n=810, k=9 and d=516. This code was found by Heurico 1.16 in 2.49 seconds.