The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1 10  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  8  1
 0  1  3  6  5  1 15 12  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  1  5  9  3 11 13 15  9  7  1  3  9  3  5  5 11 13  0  8 13 10  1  1  0
 0  0  8  0  0  0  0  8  8  8  8  8  0  0  0  0  0  0  8  8  8  8  8  8  0  0  0  8  8  8  0  8  0  8  8  0  0  0  8  8  0  0  8  0  8  8  0  0  8  8  8  8  8  0  8  8  8  0
 0  0  0  8  0  8  8  8  8  0  8  0  8  0  8  0  8  0  0  8  0  8  0  8  0  0  8  8  8  0  8  0  0  0  8  8  0  8  8  0  0  8  0  0  8  8  8  0  8  0  0  8  0  8  0  8  8  8
 0  0  0  0  8  0  8  8  8  8  0  8  0  8  0  0  8  0  8  0  8  8  0  8  8  0  8  0  8  0  8  8  8  0  0  0  0  0  8  8  8  8  0  8  0  8  8  0  0  8  0  0  8  0  0  8  0  8

generates a code of length 58 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+116x^54+222x^55+153x^56+436x^57+232x^58+400x^59+155x^60+204x^61+98x^62+18x^63+10x^64+1x^70+1x^84+1x^86

The gray image is a code over GF(2) with n=464, k=11 and d=216.
This code was found by Heurico 1.16 in 0.129 seconds.