The generator matrix 1 0 0 0 1 1 1 2 10 1 8 1 1 0 1 1 1 14 14 1 1 1 12 6 8 1 10 12 8 1 1 6 1 1 1 12 12 1 12 8 1 1 0 1 0 0 0 9 5 1 1 12 6 3 0 1 5 14 6 1 2 7 15 15 12 6 1 0 1 8 1 13 14 8 9 4 6 1 1 11 1 1 2 0 0 0 1 0 1 1 4 5 14 6 1 15 3 7 14 7 9 5 1 15 12 13 2 1 9 4 14 1 15 0 1 1 12 5 2 8 7 7 13 2 4 0 0 0 0 1 1 4 1 1 7 5 1 9 6 10 6 9 10 11 1 6 3 7 1 10 3 11 10 13 14 4 4 1 6 9 12 9 2 4 2 13 0 0 0 0 0 0 12 0 0 0 0 0 0 0 0 8 8 8 8 4 4 12 4 12 12 12 12 8 12 4 12 8 8 4 4 8 4 8 4 4 0 12 8 0 generates a code of length 42 over Z16 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+64x^34+488x^35+2021x^36+5034x^37+10082x^38+18880x^39+30010x^40+41310x^41+45891x^42+41318x^43+30753x^44+19528x^45+9734x^46+4360x^47+1763x^48+600x^49+207x^50+54x^51+28x^52+6x^53+6x^54+4x^55+2x^57 The gray image is a code over GF(2) with n=336, k=18 and d=136. This code was found by Heurico 1.16 in 340 seconds.