The generator matrix 1 0 0 1 1 15 1 1 1 1 1 1 0 1 1 21 1 1 1 1 6 3 1 1 1 1 21 1 1 1 1 24 12 9 1 1 21 1 1 1 18 1 9 1 24 1 1 24 1 0 1 0 15 0 1 16 26 1 20 16 14 1 17 24 1 25 15 22 5 3 1 20 6 4 19 1 21 9 10 0 18 1 1 8 7 1 12 23 25 1 3 6 14 1 7 8 9 9 0 0 1 25 26 16 14 26 1 15 15 16 26 21 4 22 17 20 19 10 1 26 14 12 12 24 18 10 11 17 6 1 24 17 5 25 19 14 0 21 1 7 1 6 5 21 10 1 15 0 0 0 18 9 0 18 0 18 0 9 9 9 9 9 18 0 0 0 18 9 0 9 9 18 0 9 9 18 18 18 18 18 18 18 9 0 9 0 18 0 18 18 0 0 0 0 9 9 generates a code of length 49 over Z27 who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+518x^90+426x^91+1506x^92+4036x^93+2706x^94+3990x^95+6868x^96+5418x^97+5826x^98+8604x^99+5376x^100+4482x^101+5332x^102+1536x^103+1134x^104+1046x^105+72x^106+42x^107+66x^108+12x^109+24x^110+8x^111+6x^112+6x^113+6x^114+2x^120 The gray image is a code over GF(3) with n=441, k=10 and d=270. This code was found by Heurico 1.16 in 5.55 seconds.