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

generates a code of length 51 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+27x^48+128x^49+36x^50+640x^51+36x^52+128x^53+27x^54+1x^102

The gray image is a code over GF(2) with n=408, k=10 and d=192.
This code was found by Heurico 1.16 in 0.0641 seconds.