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 1 1 1 1 1 1 1 1 1 1 3 1 1 3 3 1 1 0 9 0 0 0 0 0 0 0 0 9 18 18 9 9 9 0 18 18 9 9 9 0 9 18 9 18 0 9 9 18 9 9 0 0 9 18 9 18 18 9 9 18 0 0 0 9 0 0 0 0 9 18 18 18 0 0 18 9 18 9 0 9 9 9 0 18 18 18 0 18 9 18 18 18 9 9 9 18 9 18 9 9 18 18 9 0 9 0 0 0 9 0 0 9 18 0 18 0 0 18 9 9 18 0 9 18 18 18 9 9 0 9 18 0 9 0 9 0 9 18 18 18 9 0 0 0 18 0 0 9 9 0 0 0 0 9 0 18 18 9 0 18 18 18 0 18 18 0 18 18 9 0 0 18 0 18 18 9 18 0 9 9 0 18 0 18 0 0 9 18 9 0 9 0 9 0 0 0 0 0 9 18 18 18 18 18 18 9 18 9 9 18 9 0 18 18 0 0 0 18 9 0 18 18 9 18 18 0 9 9 9 0 9 18 18 9 18 9 9 generates a code of length 44 over Z27 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+154x^78+108x^81+54x^82+324x^85+184x^87+5022x^88+84x^90+432x^91+100x^96+36x^99+38x^105+14x^108+8x^114+2x^123 The gray image is a code over GF(3) with n=396, k=8 and d=234. This code was found by Heurico 1.16 in 5.8 seconds.