The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+122x^48+220x^49+357x^50+608x^51+591x^52+532x^53+557x^54+464x^55+253x^56+124x^57+103x^58+72x^59+53x^60+20x^61+7x^62+8x^63+3x^64+1x^80

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 0.332 seconds.