The generator matrix 1 1 1 1 1 1 1 1 1 2 1 2 1 2 1 2 2 2 1 1 1 1 2 2 4 0 4 0 12 0 12 8 4 8 4 0 12 12 12 0 8 4 4 4 0 8 12 8 4 0 8 12 4 0 0 0 8 8 8 8 0 0 0 0 8 8 8 8 0 8 0 8 8 0 0 8 0 0 0 8 0 generates a code of length 27 over Z16 who´s minimum homogenous weight is 26. Homogenous weight enumerator: w(x)=1x^0+60x^26+60x^28+4x^30+3x^32 The gray image is a code over GF(2) with n=216, k=7 and d=104. This code was found by Heurico 1.16 in 0.00791 seconds.