The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 2 2 4 1 1 1 2 0 2 8 1 1 1 2 1 1 2 8 1 2 4 1 1 2 1 2 1 0 2 0 2 0 0 6 6 4 14 2 4 12 14 2 12 12 2 0 10 6 0 0 12 14 10 2 12 10 4 4 2 6 2 8 6 6 10 8 6 14 2 8 0 2 0 4 4 8 6 0 0 0 2 2 12 6 6 0 4 4 14 2 0 2 12 14 10 10 0 12 6 6 2 6 4 14 2 0 0 12 2 6 6 4 14 12 6 14 12 6 2 4 10 6 10 10 8 2 12 6 0 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 0 8 8 8 0 0 0 0 8 0 8 0 8 8 0 0 0 8 0 0 0 8 0 8 8 8 0 8 8 8 0 8 0 0 8 0 0 0 0 0 8 0 0 0 8 0 0 0 8 8 8 8 8 8 0 8 0 8 8 0 0 0 8 8 0 8 0 0 8 8 8 0 0 0 0 0 0 8 0 0 0 8 8 8 0 8 0 0 0 0 0 0 8 0 0 0 8 8 8 0 8 8 0 0 0 0 8 8 8 0 8 0 0 8 8 8 8 0 0 0 0 0 8 0 8 8 0 8 8 8 8 8 8 8 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 8 8 0 8 0 8 0 8 0 8 8 8 8 0 8 0 8 8 0 0 8 0 8 8 8 8 0 0 8 0 8 0 8 8 8 0 0 8 0 8 0 0 0 0 0 0 0 8 8 0 8 8 0 0 0 0 8 8 8 0 8 8 0 0 8 0 8 0 8 0 8 0 0 8 8 8 8 8 0 0 0 8 0 0 0 0 0 8 0 8 8 generates a code of length 51 over Z16 who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+60x^42+132x^43+296x^44+580x^45+912x^46+1344x^47+2545x^48+2870x^49+5393x^50+4514x^51+5494x^52+2790x^53+2555x^54+1522x^55+782x^56+386x^57+274x^58+162x^59+72x^60+30x^61+18x^62+6x^63+24x^64+1x^66+2x^68+3x^70 The gray image is a code over GF(2) with n=408, k=15 and d=168. This code was found by Heurico 1.16 in 13.9 seconds.