The generator matrix 1 0 1 1 1 6 1 1 8 1 1 14 8 1 1 6 1 1 1 8 1 1 1 1 0 1 1 2 6 10 1 1 1 1 12 1 1 1 1 6 1 1 6 2 1 1 14 14 2 1 1 2 1 1 2 4 1 0 1 11 6 1 1 0 11 1 6 13 1 1 8 3 1 9 6 5 1 14 0 11 5 1 2 4 1 1 1 9 7 15 8 1 8 7 9 8 1 5 10 1 8 3 12 1 1 1 9 3 10 5 0 10 2 6 0 0 12 0 0 0 0 0 0 0 4 8 12 4 8 12 12 4 12 8 8 4 12 0 12 12 4 12 0 12 8 12 4 4 0 4 8 0 12 8 12 4 8 12 0 4 8 12 12 8 8 12 0 8 12 12 12 0 0 0 12 0 0 12 8 0 0 0 0 0 4 12 4 4 8 12 12 8 4 12 8 8 0 0 4 4 0 8 0 12 8 4 4 0 12 8 8 0 0 4 8 0 8 4 4 4 4 4 12 0 12 8 12 12 0 0 0 0 4 0 0 12 12 8 8 12 8 4 12 8 8 4 8 0 12 0 4 0 4 0 0 12 12 4 8 0 8 8 12 4 4 8 4 8 12 4 0 12 0 0 8 8 4 0 8 8 0 4 4 12 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 0 8 0 0 8 8 0 8 0 8 0 8 8 8 8 0 8 0 0 8 8 0 8 0 0 0 0 8 8 0 0 0 0 0 0 0 8 8 0 8 8 8 0 0 8 0 8 0 0 0 0 8 0 0 8 0 8 0 0 0 0 8 0 8 8 8 8 8 8 8 8 0 8 0 8 0 8 8 8 8 8 0 8 8 0 8 8 generates a code of length 57 over Z16 who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+200x^48+84x^49+604x^50+552x^51+1883x^52+2648x^53+4970x^54+7060x^55+9869x^56+10016x^57+9602x^58+7172x^59+5220x^60+2504x^61+1638x^62+572x^63+503x^64+108x^65+186x^66+4x^67+105x^68+24x^70+11x^72 The gray image is a code over GF(2) with n=456, k=16 and d=192. This code was found by Heurico 1.16 in 45.6 seconds.