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  2  2  2
 0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  0  8  8  0  8  8  0  8  8  8  0  8  0  8  8  0  8  8  0  8  8  0  8  8  0  0  8  8  8  8  0  8  8
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  0  8  8  0  8  8  0  0  8  8  8  8  0  8  0  8  8  0  8  8  8  0  8  8  8  0  8  0  8  8  0
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  0  8  8  8  8  0  8  8  0  8  8  0  8  8  0  0  0  8  0  0  0  8  8  0  0  0  0  8  8  8  8  0  0  0
 0  0  0  0  8  0  0  0  8  8  8  8  8  0  8  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  0  8  0  8  0  8  0  8  0  8  8  8  8  0  8  8  8  8  0  0  0
 0  0  0  0  0  8  0  8  8  8  0  0  0  0  8  8  8  0  0  0  0  0  0  0  8  8  8  0  0  8  8  8  8  0  8  8  0  0  8  8  0  0  8  8  0  0  8  8  0  8  8
 0  0  0  0  0  0  8  8  0  8  8  0  8  8  8  0  0  0  0  0  0  8  8  8  8  8  0  8  0  0  0  0  0  8  0  8  8  0  8  0  8  8  8  0  0  0  8  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+78x^48+96x^50+768x^51+32x^54+48x^56+1x^96

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 0.143 seconds.