The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 1 1 0 1 1 1 21 1 1 1 24 1 1 0 1 21 1 1 1 1 24 1 1 1 1 9 1 1 1 1 1 12 1 6 1 1 1 1 1 0 1 1 1 24 9 0 1 1 1 1 1 1 1 1 1 1 1 1 18 1 1 1 21 1 1 1 12 18 1 1 1 1 1 1 18 1 0 1 7 26 21 4 20 1 23 24 19 1 0 26 1 21 20 16 1 19 23 4 1 24 4 1 19 1 26 16 20 24 1 0 23 21 20 1 6 23 26 21 5 1 8 1 16 24 19 0 6 1 9 11 17 1 1 1 24 5 18 20 2 6 16 10 13 10 10 2 1 23 11 5 1 19 4 11 1 1 16 25 25 22 4 7 1 24 0 0 9 0 0 0 9 9 9 9 18 9 9 0 18 9 9 9 18 0 18 18 9 0 0 18 9 0 18 0 0 0 18 18 9 18 18 0 18 18 9 18 9 9 18 0 0 0 0 0 9 18 9 0 0 9 18 0 18 0 9 9 0 18 18 9 18 18 18 18 9 18 18 9 0 9 18 18 9 0 0 9 9 18 0 9 0 18 0 0 0 9 0 0 0 0 0 18 18 18 18 9 18 9 18 9 18 18 9 0 18 18 9 9 9 9 18 18 0 18 9 9 9 9 18 9 18 9 9 0 18 0 18 0 18 9 9 18 9 9 18 0 18 9 0 9 0 0 9 18 9 9 18 0 18 0 9 0 0 0 18 18 0 0 9 9 9 0 9 18 0 0 18 9 18 9 0 0 0 0 18 9 9 18 18 18 0 9 0 18 18 0 9 9 0 0 9 0 18 9 9 0 0 0 18 18 9 0 9 9 18 18 0 18 18 0 9 9 18 9 9 18 9 0 18 18 18 18 9 18 0 18 0 9 18 0 0 18 9 18 9 18 0 9 0 18 9 0 18 0 0 0 18 0 18 9 18 0 18 18 18 18 18 0 generates a code of length 88 over Z27 who´s minimum homogenous weight is 167. Homogenous weight enumerator: w(x)=1x^0+240x^167+348x^168+378x^169+1314x^170+1294x^171+774x^172+1428x^173+1250x^174+1116x^175+2532x^176+1634x^177+1350x^178+2118x^179+1548x^180+630x^181+828x^182+408x^183+126x^184+186x^185+26x^186+78x^188+24x^189+12x^191+12x^192+12x^194+2x^195+2x^198+2x^201+2x^204+2x^207+4x^213+2x^219 The gray image is a code over GF(3) with n=792, k=9 and d=501. This code was found by Heurico 1.16 in 2.3 seconds.