The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1
 0  2 12  6  0  6 12 10  0 10 12  6  4  6 10  0 14  8 10 12 12  6 14  4  0 10  0 10  8  6 12  2 12 14  8  8  2  6  2 12  4 14 10  6  6  0  0  2 10 10  0
 0  0  8  0  0  0  0  0  0  0  8  0  0  8  8  8  8  8  8  0  8  8  8  8  8  0  0  0  8  8  0  8  8  8  8  0  8  0  8  0  0  8  8  0  0  0  8  0  8  8  0
 0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  0  0  0  8  8  0  8  0  8  8  8  8  8  8  0  8  0  8  0  8  8  8  0  0  0  8  8  0  0  8  0  8  0  0  0  8
 0  0  0  0  8  0  0  8  8  8  0  8  0  0  8  8  0  8  0  8  0  8  0  8  0  8  8  0  8  8  0  8  0  8  8  8  0  8  0  8  8  8  0  8  8  0  0  0  8  8  0
 0  0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  0  0  0  8  0  8  0  8  8  8  8  8  0  0  8  8  8  0  0  8  0  8  0  8  8  0  0  8  8  0  8  0  8  8

generates a code of length 51 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+64x^46+54x^47+131x^48+30x^49+261x^50+988x^51+278x^52+28x^53+72x^54+46x^55+68x^56+6x^57+18x^58+2x^60+1x^98

The gray image is a code over GF(2) with n=408, k=11 and d=184.
This code was found by Heurico 1.16 in 0.146 seconds.