The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  1  1  2  2  1  1  1  2  2  1  4  0  4  8  2  2  2  2  4  1  1  1  2  2  4  4  0  0  8  8  4
 0 12  8  4  0 12  8  4  0 12  8  4  0 12  8  4 12  4  0 12  8  4 12  4  0  8 12  0  8  4 12  4  4  4 12  4  0  8  8  0  8 12  0  8  0 12  8  4  4  8  4

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

Homogenous weight enumerator: w(x)=1x^0+42x^51+2x^52+12x^53+4x^54+2x^55+1x^56

The gray image is a code over GF(2) with n=408, k=6 and d=204.
This code was found by Heurico 1.16 in 0.0696 seconds.