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 3 1 0 9 0 0 9 0 9 9 18 0 0 9 9 0 18 9 18 18 0 9 18 0 9 18 18 18 18 0 0 0 9 9 0 9 9 18 9 0 0 0 9 0 18 9 18 9 18 0 9 9 0 18 0 0 9 9 18 18 18 18 9 0 0 9 18 0 0 9 18 9 9 18 0 18 0 0 0 0 0 9 18 18 0 18 18 18 9 0 18 0 18 9 9 0 9 9 9 18 9 0 9 18 0 0 9 18 18 18 9 9 9 18 18 0 generates a code of length 38 over Z27 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+24x^72+54x^74+36x^75+486x^76+108x^77+2x^81+16x^84+2x^111 The gray image is a code over GF(3) with n=342, k=6 and d=216. This code was found by Heurico 1.16 in 0.0143 seconds.