The generator matrix 1 0 1 1 1 4 1 1 6 1 1 12 14 1 1 1 1 1 14 6 1 1 4 2 2 1 1 0 1 1 4 8 10 1 0 1 1 0 3 1 3 0 1 9 4 1 1 5 6 13 2 13 1 1 4 4 1 1 6 3 15 1 14 9 12 0 1 0 0 0 2 0 2 8 4 10 2 4 2 6 14 12 6 0 4 14 4 6 14 12 0 10 6 6 0 6 10 10 12 2 12 0 0 0 0 2 2 10 12 10 12 10 8 14 14 8 10 6 4 10 10 0 0 2 4 6 14 8 4 4 4 10 2 10 8 0 0 0 0 0 4 0 8 8 8 8 8 8 4 12 4 4 4 8 4 12 4 12 12 0 8 12 8 8 0 4 0 0 4 8 generates a code of length 34 over Z16 who´s minimum homogenous weight is 27. Homogenous weight enumerator: w(x)=1x^0+82x^27+355x^28+962x^29+1851x^30+4052x^31+8130x^32+10454x^33+13723x^34+10582x^35+8007x^36+4220x^37+1859x^38+728x^39+333x^40+134x^41+37x^42+12x^43+6x^44+6x^45+2x^46 The gray image is a code over GF(2) with n=272, k=16 and d=108. This code was found by Heurico 1.16 in 20.4 seconds.