The generator matrix 1 0 1 1 1 4 1 1 6 1 1 10 8 1 1 1 1 4 8 1 1 2 1 1 10 1 1 1 14 1 0 1 1 1 1 10 1 1 1 1 12 10 2 12 0 1 6 10 1 1 1 8 2 1 1 1 1 0 1 1 4 3 1 2 7 1 6 13 1 1 12 10 1 11 1 1 13 14 1 3 4 1 9 9 12 1 6 1 7 13 14 12 1 6 11 12 2 2 1 10 2 1 8 1 1 7 7 7 1 1 14 10 1 0 0 0 2 2 0 2 2 10 0 8 4 6 2 6 6 12 12 4 4 2 4 2 14 4 0 6 6 0 2 14 14 4 12 2 6 6 8 4 8 4 6 0 6 10 6 10 12 0 8 0 2 2 2 0 0 2 8 0 0 0 8 0 0 0 8 8 8 8 0 8 8 0 0 8 0 8 0 0 8 8 8 8 0 8 0 0 0 8 0 0 0 0 0 8 8 8 0 0 8 8 8 8 8 8 0 0 8 0 8 8 8 0 0 8 0 0 0 0 8 0 0 0 0 0 8 0 0 0 0 8 8 8 8 0 0 0 0 0 0 8 8 8 8 0 8 0 8 8 8 0 8 0 8 8 0 8 8 0 8 8 8 8 0 0 8 8 0 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 8 0 8 0 8 0 8 8 8 0 0 0 8 8 0 8 8 0 8 8 8 8 0 0 8 8 8 8 0 0 0 0 0 0 0 0 0 8 0 8 0 0 0 0 0 0 8 8 8 8 8 0 8 0 8 0 8 8 0 0 8 0 0 0 8 8 0 8 0 0 0 0 8 0 0 8 8 8 0 8 0 8 0 0 8 0 8 8 8 8 0 0 0 0 8 8 8 generates a code of length 57 over Z16 who´s minimum homogenous weight is 49. Homogenous weight enumerator: w(x)=1x^0+40x^49+231x^50+384x^51+788x^52+1902x^53+2094x^54+4482x^55+3272x^56+6360x^57+3416x^58+4600x^59+2015x^60+1740x^61+721x^62+364x^63+179x^64+64x^65+60x^66+24x^67+9x^68+6x^69+5x^70+2x^71+7x^72+1x^74+1x^80 The gray image is a code over GF(2) with n=456, k=15 and d=196. This code was found by Heurico 1.16 in 11 seconds.