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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 3 0 3 0 9 24 21 3 15 24 9 9 15 18 12 15 21 24 21 18 12 9 24 12 6 15 0 0 21 12 21 15 24 12 6 0 18 9 3 18 3 3 9 9 24 0 3 12 0 12 0 21 6 18 21 3 24 15 6 21 0 0 3 15 9 6 3 21 15 0 6 18 21 24 12 12 24 0 24 3 9 21 18 6 0 18 21 18 12 24 6 18 15 12 24 3 21 6 15 9 12 24 18 0 12 18 6 9 21 15 9 3 0 3 0 3 15 24 15 generates a code of length 59 over Z27 who´s minimum homogenous weight is 114. Homogenous weight enumerator: w(x)=1x^0+210x^114+216x^116+344x^117+648x^118+432x^119+216x^120+60x^123+58x^126+2x^171 The gray image is a code over GF(3) with n=531, k=7 and d=342. This code was found by Heurico 1.16 in 0.0859 seconds.