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

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

Homogenous weight enumerator: w(x)=1x^0+37x^48+128x^49+64x^50+160x^51+225x^52+856x^53+229x^54+136x^55+41x^56+104x^57+23x^58+24x^59+15x^60+3x^62+1x^64+1x^98

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 0.162 seconds.