The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+114x^58+5x^60+4x^62+1x^64+2x^66+1x^68

The gray image is a code over GF(2) with n=464, k=7 and d=232.
This code was found by Heurico 1.16 in 0.0785 seconds.