The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 1 1 1 1 2 12 1 1 1 1 1 1 2 0 1 1 1 12 2 2 1 1 0 1 1 0 1 12 2 1 0 1 4 4 0 2 12 6 0 6 12 10 0 6 12 10 4 10 0 8 6 14 6 2 10 12 12 6 0 10 10 2 0 12 4 10 10 8 6 2 6 0 8 2 10 6 10 10 2 12 6 2 2 2 10 12 2 6 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 0 0 8 8 8 0 0 8 0 8 0 0 8 8 0 0 8 8 8 0 0 8 0 8 0 8 8 8 0 0 0 0 8 0 8 0 0 0 0 8 0 0 0 0 0 8 8 0 8 0 8 8 0 0 8 8 0 0 8 8 0 8 8 0 0 0 8 0 0 0 8 0 8 0 8 8 8 0 8 8 0 0 8 0 8 0 0 8 8 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 8 8 0 0 0 0 8 8 8 0 0 8 8 8 0 0 0 8 8 8 8 8 0 8 0 8 8 0 8 8 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 8 0 8 0 8 8 8 8 0 0 0 0 0 0 8 8 8 8 8 8 0 0 0 0 8 8 0 8 0 0 0 8 0 0 8 8 8 0 8 0 0 0 8 8 8 0 8 0 0 0 0 0 0 8 0 8 0 8 8 0 8 0 8 8 8 8 0 8 0 8 0 8 0 8 0 8 8 0 0 0 8 0 8 8 0 8 0 8 0 0 0 0 0 8 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 8 8 8 8 8 8 8 0 0 8 0 0 0 8 8 0 8 0 0 8 0 8 8 8 8 0 0 8 0 8 8 0 8 0 8 8 8 8 0 8 generates a code of length 56 over Z16 who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+85x^48+28x^49+231x^50+132x^51+407x^52+732x^53+515x^54+1684x^55+584x^56+1668x^57+590x^58+716x^59+377x^60+116x^61+172x^62+28x^63+71x^64+16x^65+17x^66+7x^68+9x^70+2x^72+2x^74+1x^76+1x^80 The gray image is a code over GF(2) with n=448, k=13 and d=192. This code was found by Heurico 1.16 in 1.26 seconds.