The generator matrix

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

generates a code of length 54 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+45x^50+260x^51+308x^52+316x^53+195x^54+322x^55+296x^56+252x^57+47x^58+2x^63+2x^64+1x^70+1x^88

The gray image is a code over GF(2) with n=432, k=11 and d=200.
This code was found by Heurico 1.16 in 0.142 seconds.