The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 0 1 1 1 1 1 1 3 0 3 1 3 3 1 3 1 1 0 3 3 1 1 0 3 24 0 21 24 9 21 6 0 21 24 18 12 15 24 21 0 18 24 3 15 6 18 21 3 0 3 18 3 24 18 24 9 3 24 9 18 3 6 12 15 12 18 6 6 12 9 0 0 12 18 21 15 18 21 6 0 6 3 15 0 9 24 24 15 24 3 0 18 9 24 15 21 21 3 24 6 21 21 24 21 12 3 3 24 12 3 0 0 0 9 0 0 0 0 0 18 0 18 18 0 9 0 9 9 0 0 9 0 18 0 0 18 9 9 18 9 0 9 18 18 18 9 18 9 9 0 9 0 9 0 0 9 9 9 18 18 9 0 9 18 9 9 18 18 0 18 18 18 18 9 0 9 18 0 9 9 0 18 0 9 9 0 9 18 9 0 9 0 0 18 0 9 0 18 9 9 0 0 0 9 0 0 18 0 0 9 18 18 9 9 9 0 18 18 9 9 9 18 0 9 9 18 18 0 18 0 18 9 18 18 9 18 18 0 0 9 18 18 9 0 9 18 9 0 18 18 9 18 9 0 0 0 9 9 18 9 0 9 9 18 0 18 18 9 9 18 9 18 18 9 0 0 18 0 9 18 0 0 0 9 0 18 18 18 0 0 0 0 0 18 0 0 9 0 18 18 9 9 18 18 9 9 0 9 0 18 0 18 0 9 9 18 18 9 18 18 9 9 18 0 0 9 0 18 9 0 18 0 18 0 0 9 18 18 18 9 0 9 18 0 18 9 18 18 18 0 18 18 0 0 9 9 9 9 9 9 9 9 18 18 18 0 18 0 18 18 18 0 18 9 18 0 9 9 0 0 0 0 0 9 0 0 18 18 0 18 9 0 9 18 9 9 18 18 9 0 18 18 9 0 0 0 9 9 0 18 9 18 18 18 18 18 18 18 9 18 0 9 9 0 9 9 0 9 9 18 0 9 0 18 18 0 0 9 0 18 0 18 9 0 0 0 18 9 9 18 9 9 0 0 18 18 0 0 0 18 9 0 0 0 9 18 18 generates a code of length 89 over Z27 who´s minimum homogenous weight is 165. Homogenous weight enumerator: w(x)=1x^0+124x^165+132x^166+260x^168+648x^169+272x^171+1248x^172+232x^174+3456x^175+318x^177+6144x^178+256x^180+4338x^181+300x^183+912x^184+180x^186+324x^187+72x^189+192x^190+76x^192+90x^193+36x^195+12x^196+12x^198+16x^201+12x^204+4x^207+8x^210+2x^213+4x^216+2x^231 The gray image is a code over GF(3) with n=801, k=9 and d=495. This code was found by Heurico 1.16 in 7.1 seconds.