The generator matrix

 1  0  0  1  1  1 10  2  1  1 10  1 10  1  1  8  1  0  1 12  1  2  1 10  1  1  1 12  8  1  6  1  1 10  1  1  1  1 12  1  0  4  1  1 14  4  6  0  1 12  1
 0  1  0  8  5 13  1  1  0 13  1 14  6 15  6  1  7  2 11  1  5  1  6 12  8  7 10  1  1  3  2  2  8  1 10  4 14 13  0 12  1  1 10 12  1 10  1  1  3  1 15
 0  0  1 11  3  8 15  6 14  6  5 11  1  3 14  3  8  1  9  6  1 12  0  1 13  6 13  4  9 15  1  7 10 11  1  1 10  7  1  8  4  2  3 11  4  1  6 14  8  2 15

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

Homogenous weight enumerator: w(x)=1x^0+553x^48+712x^49+798x^50+548x^51+472x^52+376x^53+262x^54+132x^55+155x^56+24x^57+52x^58+8x^60+3x^64

The gray image is a code over GF(2) with n=408, k=12 and d=192.
This code was found by Heurico 1.16 in 7.75 seconds.