The generator matrix 1 0 1 1 1 1 1 1 21 24 1 1 1 3 3 0 1 1 26 18 17 21 16 1 1 19 3 16 1 9 0 0 24 9 21 12 15 6 15 9 18 21 0 3 12 generates a code of length 15 over Z27 who´s minimum homogenous weight is 26. Homogenous weight enumerator: w(x)=1x^0+378x^26+346x^27+594x^28+1152x^29+1342x^30+1188x^31+1152x^32+318x^33+72x^35+16x^36+2x^39 The gray image is a code over GF(3) with n=135, k=8 and d=78. This code was found by Heurico 1.16 in 0.0219 seconds.