The generator matrix 1 0 0 1 1 1 10 12 12 10 1 1 1 1 8 14 1 14 1 1 1 1 6 8 8 1 14 1 4 1 8 1 6 12 1 1 1 8 1 0 1 0 0 13 5 1 2 1 1 10 15 15 6 1 1 8 12 9 1 8 14 1 2 4 14 1 14 1 15 1 7 1 1 14 2 0 1 9 0 0 1 11 3 0 7 1 2 9 5 2 3 4 15 4 2 1 1 6 15 3 14 1 1 6 2 5 6 4 12 6 0 0 8 9 13 3 5 0 0 0 12 4 8 12 4 12 0 8 12 8 4 12 8 8 8 12 8 4 0 12 12 8 12 8 0 0 4 8 8 12 4 8 12 0 12 8 generates a code of length 39 over Z16 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+120x^34+694x^35+1267x^36+2312x^37+2373x^38+2950x^39+2529x^40+2186x^41+1077x^42+578x^43+138x^44+92x^45+35x^46+18x^47+8x^48+2x^49+3x^50+1x^52 The gray image is a code over GF(2) with n=312, k=14 and d=136. This code was found by Heurico 1.16 in 1.5 seconds.