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 0 1 1 1 1 1 1 1 0 21 1 0 1 1 1 1 1 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 19 24 1 26 4 0 16 24 23 23 1 1 26 1 0 16 23 20 5 24 14 21 0 0 0 9 0 0 0 18 18 9 9 9 0 9 0 9 0 9 9 18 9 0 0 18 0 18 0 18 0 9 18 18 9 0 18 0 9 0 9 18 9 9 18 0 0 0 0 0 0 9 0 0 18 18 18 0 9 9 18 9 18 0 18 9 18 0 0 18 9 18 0 18 0 18 9 18 9 9 9 18 18 18 18 18 18 0 9 0 9 18 0 0 0 0 0 18 0 18 9 9 18 18 9 0 0 0 18 0 0 9 18 18 18 0 0 9 18 0 18 9 18 18 0 0 18 9 9 9 18 9 9 0 0 18 18 0 0 0 0 0 0 9 18 0 18 18 18 18 18 18 9 9 18 0 18 0 9 18 18 0 18 0 9 9 0 0 18 0 18 18 0 0 18 18 18 18 9 9 0 0 18 generates a code of length 45 over Z27 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+84x^78+42x^79+144x^80+260x^81+450x^82+372x^83+1092x^84+2100x^85+3006x^86+4530x^87+5220x^88+6678x^89+8538x^90+6942x^91+7212x^92+5956x^93+3786x^94+1368x^95+376x^96+408x^97+144x^98+192x^99+6x^100+30x^101+34x^102+46x^105+18x^108+10x^111+4x^114 The gray image is a code over GF(3) with n=405, k=10 and d=234. This code was found by Heurico 1.16 in 6.3 seconds.