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

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

Homogenous weight enumerator: w(x)=1x^0+128x^54+162x^55+334x^56+308x^57+345x^58+280x^59+182x^60+120x^61+94x^62+18x^63+41x^64+4x^65+23x^66+4x^67+2x^68+1x^70+1x^94

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 0.258 seconds.