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 18 1 1 1 1 0 1 0 3 0 9 24 21 3 15 24 9 9 15 18 12 9 15 6 0 6 12 6 21 0 15 12 6 12 21 9 21 12 0 21 12 3 15 6 15 21 3 24 0 0 3 15 9 6 3 21 15 0 6 18 21 24 9 24 9 12 24 12 12 9 6 3 0 21 6 24 21 12 3 15 21 15 12 6 18 15 18 6 21 generates a code of length 41 over Z27 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+240x^78+216x^80+308x^81+648x^82+432x^83+216x^84+66x^87+40x^90+18x^93+2x^117 The gray image is a code over GF(3) with n=369, k=7 and d=234. This code was found by Heurico 1.16 in 0.0694 seconds.