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 3 1 3 3 1 1 3 1 1 1 3 1 1 3 1 3 0 1 3 1 1 1 0 3 0 0 0 24 21 15 3 6 15 21 18 6 3 24 24 24 18 12 18 12 12 21 6 18 0 3 24 18 18 6 9 3 6 21 18 15 3 24 24 15 18 9 18 24 18 0 18 0 0 3 0 9 18 9 18 0 0 21 15 15 6 21 24 3 24 3 15 24 21 15 12 21 12 15 21 18 24 9 15 6 9 9 15 18 21 3 24 0 3 3 3 24 12 6 3 21 0 0 0 3 15 0 6 3 12 15 18 24 24 6 0 18 3 21 15 9 3 15 12 3 15 12 18 18 24 24 3 6 12 21 12 21 3 15 21 9 9 6 12 0 6 18 18 24 0 generates a code of length 49 over Z27 who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+270x^89+258x^90+144x^91+948x^92+750x^93+720x^94+1500x^95+1776x^96+2322x^97+1968x^98+2550x^99+2340x^100+1644x^101+842x^102+306x^103+510x^104+192x^105+282x^107+116x^108+144x^110+62x^111+24x^113+12x^114+2x^120 The gray image is a code over GF(3) with n=441, k=9 and d=267. This code was found by Heurico 1.16 in 1.43 seconds.