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 0 3 24 0 21 24 9 21 6 9 12 6 9 0 12 3 24 6 18 21 15 18 0 0 9 9 18 18 18 9 0 9 0 9 0 18 9 18 0 18 0 0 9 9 generates a code of length 22 over Z27 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+60x^42+36x^43+540x^44+56x^45+18x^46+16x^48+2x^66 The gray image is a code over GF(3) with n=198, k=6 and d=126. This code was found by Heurico 1.16 in 0.00342 seconds.