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

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

Homogenous weight enumerator: w(x)=1x^0+23x^50+32x^51+68x^52+222x^53+339x^54+236x^55+53x^56+16x^57+19x^58+4x^59+6x^60+2x^61+2x^62+1x^102

The gray image is a code over GF(2) with n=432, k=10 and d=200.
This code was found by Heurico 1.16 in 0.122 seconds.