The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 0 1 1 1 1 1 21 1 24 1 1 1 24 1 1 0 1 1 21 1 24 1 1 1 1 1 1 21 1 1 0 1 1 1 1 1 1 1 1 24 6 1 1 21 12 1 1 1 1 1 1 1 12 1 1 1 1 0 1 7 26 21 4 20 1 24 19 23 1 1 0 16 26 20 4 1 21 1 23 24 19 1 4 26 1 0 16 1 24 1 19 21 24 16 20 4 1 0 21 1 6 23 23 26 4 19 26 13 1 1 8 16 1 1 0 20 24 6 8 26 20 1 21 11 7 16 0 0 9 0 0 0 18 18 9 9 9 0 9 0 9 0 9 9 18 18 9 9 0 9 0 18 0 0 0 0 18 9 0 18 0 9 18 0 0 9 18 9 18 18 18 18 18 9 9 9 0 0 9 0 9 18 9 0 9 18 9 18 9 0 18 0 0 18 9 0 0 0 9 0 0 18 18 18 0 9 9 18 9 18 0 18 9 18 0 18 0 18 18 0 0 0 18 18 18 18 9 9 0 18 18 18 9 18 0 18 9 0 9 0 9 9 9 0 0 18 18 0 18 9 9 9 18 0 0 18 9 18 18 0 0 18 18 0 0 0 0 0 18 0 18 9 9 18 18 9 0 0 0 18 0 0 9 9 9 18 18 9 18 0 9 0 9 18 18 18 0 0 18 9 18 0 0 0 9 9 0 9 9 0 9 9 9 18 9 9 0 0 9 9 0 9 0 9 18 18 0 18 18 18 9 0 9 0 0 0 0 0 9 18 0 18 18 18 18 18 18 9 9 18 0 18 9 18 0 0 0 9 9 9 9 9 18 18 0 9 0 9 9 0 9 9 0 9 0 9 0 9 9 9 18 0 9 9 0 18 0 0 18 0 18 0 0 18 0 0 9 9 18 18 0 18 generates a code of length 69 over Z27 who´s minimum homogenous weight is 125. Homogenous weight enumerator: w(x)=1x^0+66x^125+126x^126+54x^127+396x^128+492x^129+756x^130+1266x^131+1400x^132+3024x^133+2730x^134+3188x^135+6966x^136+4740x^137+4610x^138+9450x^139+5070x^140+3714x^141+5238x^142+2412x^143+1486x^144+756x^145+642x^146+136x^147+144x^149+62x^150+30x^152+34x^153+12x^156+14x^159+10x^162+4x^165+10x^168+6x^171+2x^174+2x^177 The gray image is a code over GF(3) with n=621, k=10 and d=375. This code was found by Heurico 1.16 in 19 seconds.