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 9 1 3 0 3 24 0 21 24 21 6 0 9 0 9 21 12 9 9 21 3 3 18 3 24 6 24 6 6 15 0 0 9 9 21 21 12 12 9 24 21 0 0 9 0 9 0 18 18 9 18 9 18 18 0 9 0 9 18 9 18 0 0 9 9 18 0 18 0 9 9 0 18 9 0 18 0 18 0 0 0 0 9 18 9 9 18 18 9 0 18 18 18 9 18 0 0 9 0 9 0 9 18 9 18 0 18 9 0 0 0 9 0 9 0 9 18 generates a code of length 38 over Z27 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+384x^72+600x^75+972x^77+78x^78+72x^81+66x^84+12x^87+2x^108 The gray image is a code over GF(3) with n=342, k=7 and d=216. This code was found by Heurico 1.16 in 0.202 seconds.