The generator matrix 1 0 0 1 1 1 6 1 1 12 6 1 1 0 2 14 1 1 10 1 1 12 1 10 2 1 10 1 1 1 1 4 1 1 0 1 0 2 1 11 1 14 0 1 1 5 11 6 2 4 0 3 1 0 13 1 7 10 1 11 1 10 10 13 12 1 14 0 0 0 1 1 5 4 1 3 6 6 7 7 2 1 1 1 3 3 2 4 0 5 5 1 4 0 15 7 2 12 9 10 3 13 0 0 0 4 4 0 12 4 0 8 4 12 8 0 8 0 8 0 4 12 4 0 4 12 8 12 0 8 12 0 4 4 4 8 0 0 0 0 8 0 8 8 8 8 0 8 0 8 0 8 8 8 8 8 0 8 8 0 0 8 0 8 0 8 8 8 0 8 0 0 0 0 0 8 0 8 8 0 0 8 0 0 8 8 0 0 8 8 8 8 0 8 0 0 0 8 8 8 8 0 0 8 generates a code of length 34 over Z16 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+214x^28+668x^29+2218x^30+3896x^31+7984x^32+11004x^33+13460x^34+11040x^35+8164x^36+4068x^37+1972x^38+552x^39+230x^40+4x^41+36x^42+14x^44+10x^46+1x^48 The gray image is a code over GF(2) with n=272, k=16 and d=112. This code was found by Heurico 1.16 in 17.8 seconds.