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

generates a code of length 53 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+15x^48+10x^49+24x^50+34x^51+88x^52+684x^53+91x^54+28x^55+20x^56+10x^57+12x^58+2x^59+4x^60+1x^102

The gray image is a code over GF(2) with n=424, k=10 and d=192.
This code was found by Heurico 1.16 in 0.116 seconds.