The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 2 1 12 1 1 1 1 2 1 0 1 1 1 1 2 1 1 1 1 1 2 12 0 1 2 1 0 2 1 0 2 12 6 0 6 12 10 0 6 12 10 4 10 6 2 0 10 6 2 6 8 6 12 6 12 2 0 10 10 10 10 12 4 14 12 0 6 2 2 10 6 4 2 6 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 8 8 8 0 8 0 8 8 0 8 0 8 0 0 8 8 0 8 8 8 0 0 0 8 8 0 0 0 0 8 0 0 0 0 0 8 8 0 8 0 8 8 8 8 0 0 8 8 0 8 8 0 0 0 0 0 0 0 0 8 8 8 0 8 0 8 8 0 8 0 8 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 8 8 8 8 0 8 0 8 8 8 0 8 0 8 0 8 8 8 0 8 8 8 0 8 0 8 8 0 8 8 8 0 0 0 0 0 8 0 0 0 8 0 8 0 8 8 0 8 8 0 8 8 8 0 0 0 0 8 8 0 0 8 8 8 8 0 0 8 0 0 8 8 8 8 8 0 8 0 0 0 0 0 0 8 0 8 0 8 8 0 8 0 0 0 8 0 0 8 8 8 8 0 8 0 8 0 0 0 8 8 8 8 8 8 8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 8 8 0 8 8 8 8 0 8 0 8 0 8 0 8 8 0 0 0 8 8 8 0 0 0 8 0 8 8 8 8 generates a code of length 46 over Z16 who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+25x^38+34x^39+133x^40+142x^41+399x^42+426x^43+1279x^44+678x^45+1993x^46+678x^47+1280x^48+426x^49+363x^50+142x^51+106x^52+34x^53+27x^54+9x^56+5x^58+7x^60+3x^62+1x^64+1x^66 The gray image is a code over GF(2) with n=368, k=13 and d=152. This code was found by Heurico 1.16 in 0.929 seconds.