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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+112x^53+9x^54+132x^55+128x^56+276x^57+751x^58+264x^59+124x^60+120x^61+7x^62+116x^63+2x^64+4x^65+1x^66+1x^112

The gray image is a code over GF(2) with n=464, k=11 and d=212.
This code was found by Heurico 1.16 in 0.319 seconds.