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 3 1 1 1 3 1 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 6 21 12 12 21 15 12 21 6 18 0 24 15 6 0 0 3 15 9 6 3 21 15 0 6 18 21 24 9 24 9 12 24 12 12 9 6 3 3 0 3 6 24 0 9 18 15 15 9 18 12 21 generates a code of length 38 over Z27 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+216x^72+324x^74+246x^75+486x^76+648x^77+138x^78+72x^81+42x^84+6x^87+6x^90+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 0.0279 seconds.