The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 2 8 1 4 1 2 1 1 2 12 1 1 2 1 1 1 4 1 8 1 8 1 2 2 0 2 0 6 4 14 12 2 0 6 8 10 12 14 6 2 2 8 14 2 10 2 0 10 4 4 6 2 0 10 2 2 6 2 8 0 2 4 2 0 0 14 0 0 12 0 4 4 0 4 0 8 12 8 0 12 0 8 4 4 4 4 0 12 8 0 4 4 8 8 0 8 4 12 0 0 4 8 12 12 4 8 12 4 0 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 8 8 8 0 8 8 8 8 0 0 8 8 0 0 0 0 8 8 8 8 8 0 8 0 0 0 0 8 0 0 0 0 0 8 8 8 8 0 8 0 0 8 8 0 0 8 8 0 8 8 0 0 8 8 0 8 8 0 0 8 8 0 0 8 8 0 0 0 0 0 8 0 0 8 8 8 0 0 8 8 8 0 8 8 0 8 8 8 8 0 8 8 8 0 0 8 8 0 8 8 0 8 8 0 8 0 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 8 8 8 8 0 8 0 8 8 8 0 0 8 0 8 8 0 8 8 0 0 0 8 0 8 0 0 0 0 0 0 0 0 0 8 8 8 8 0 0 0 8 8 8 8 8 8 0 0 0 8 0 8 8 0 8 8 0 8 0 0 0 8 0 8 0 0 0 8 generates a code of length 42 over Z16 who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+66x^34+86x^35+203x^36+372x^37+709x^38+1054x^39+2368x^40+1462x^41+3584x^42+1818x^43+2353x^44+894x^45+692x^46+346x^47+171x^48+82x^49+60x^50+24x^51+19x^52+6x^53+7x^54+4x^56+2x^58+1x^60 The gray image is a code over GF(2) with n=336, k=14 and d=136. This code was found by Heurico 1.16 in 3.34 seconds.