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  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8 12  2  1  1  1
 0  2  0  6  4 14 12  2  4  6  0  6  8 10  4  2  6 14  0  6 12 10 14  8  4  2  2 14  4  0  0 12 14 14 14  2 10  4  8  2  2  4  8  6  4  2 12  2  2  2  6  8  0
 0  0 12  0  4  4  8  4  4  0  8 12  4  4  8  8  0  4  0  0  8  8  4 12 12  0 12 12  0  4  8 12 12  0  8  0 12 12  8  0 12  0  8  8  4 12  0 12  0  4  4  4  0
 0  0  0  8  0  0  8  8  8  0  8  8  8  0  0  8  8  8  0  8  8  0  0  0  8  0  8  8  8  8  0  0  0  0  8  0  0  0  0  8  0  0  8  0  0  8  8  8  0  0  8  0  8
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  8  8  8  8  8  0  0  0  0  0  0  0  8  0  0  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+63x^48+94x^49+81x^50+228x^51+372x^52+390x^53+367x^54+216x^55+68x^56+90x^57+63x^58+4x^59+8x^60+2x^61+1x^94

The gray image is a code over GF(2) with n=424, k=11 and d=192.
This code was found by Heurico 1.16 in 0.196 seconds.