The generator matrix 1 0 1 1 1 1 21 1 1 24 1 1 1 0 1 1 18 1 3 15 1 1 1 1 1 1 1 1 1 0 1 1 21 6 1 1 1 12 1 1 0 3 3 1 0 1 1 26 21 20 1 24 23 1 16 4 0 1 24 25 1 2 1 1 21 22 17 1 14 16 20 25 20 1 5 23 1 1 13 13 7 1 16 5 1 12 24 17 0 0 24 0 18 18 18 0 18 18 15 24 6 24 6 21 3 3 12 12 15 21 12 3 12 18 15 21 9 9 15 3 0 24 0 6 12 3 0 9 24 3 15 9 0 0 0 9 9 0 18 18 18 9 18 9 18 9 0 18 9 18 0 18 9 9 0 0 9 9 18 9 9 18 9 18 9 18 18 18 0 18 0 9 0 18 0 18 generates a code of length 44 over Z27 who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+396x^81+414x^82+810x^83+1736x^84+900x^85+1584x^86+3116x^87+1620x^88+2214x^89+3160x^90+1152x^91+1188x^92+778x^93+288x^94+36x^95+178x^96+102x^99+6x^102+4x^108 The gray image is a code over GF(3) with n=396, k=9 and d=243. This code was found by Heurico 1.16 in 0.75 seconds.