The generator matrix 1 0 0 1 1 1 4 12 1 1 8 1 14 1 2 1 1 1 4 1 14 1 14 1 1 1 4 12 1 1 1 12 10 12 4 1 10 1 14 6 1 12 14 1 1 1 10 1 1 1 1 0 1 0 0 13 11 1 1 7 1 1 2 6 2 1 0 5 5 12 6 1 8 1 7 7 10 1 14 6 12 1 1 14 1 1 15 1 2 1 12 5 1 12 10 8 7 1 1 12 2 4 0 0 1 1 13 4 7 4 5 0 1 6 1 7 6 11 6 7 1 8 5 13 0 10 14 8 5 1 3 3 9 14 1 14 4 3 5 0 3 1 1 7 1 2 8 5 7 5 1 2 4 0 0 0 2 10 0 8 10 4 14 6 2 2 0 4 4 14 10 2 6 4 0 10 14 8 8 2 4 2 6 8 4 12 14 6 4 10 4 6 14 8 10 14 12 2 0 8 4 6 2 0 0 0 0 0 8 8 8 8 8 8 8 0 0 0 8 0 8 0 8 8 0 8 0 0 0 8 0 8 8 0 8 0 0 0 8 8 0 8 8 8 0 0 0 8 0 0 8 8 0 0 0 generates a code of length 51 over Z16 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+98x^44+632x^45+1650x^46+3088x^47+4934x^48+7872x^49+8875x^50+11148x^51+9502x^52+7608x^53+4832x^54+2936x^55+1333x^56+632x^57+213x^58+100x^59+30x^60+24x^61+12x^62+8x^63+6x^64+2x^66 The gray image is a code over GF(2) with n=408, k=16 and d=176. This code was found by Heurico 1.16 in 28.8 seconds.