The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+291x^48+24x^49+252x^50+512x^51+550x^52+976x^53+376x^54+512x^55+367x^56+24x^57+140x^58+46x^60+20x^64+4x^68+1x^88

The gray image is a code over GF(2) with n=424, k=12 and d=192.
This code was found by Heurico 1.16 in 17.9 seconds.