The generator matrix

 1  0  0  1  1  1  0 10  1  8  8  1  1  1  4 10  1  1 12  1  1  0  1  2 14  1  1 10  1  1  6  0  1  6  1  1  1  2  1  4  1  1  1  0  1  1 12  1  1  1  1  4  1  1  1  1  1  1
 0  1  0  0  5  3  1  1  6  6  1  5 11  2  8  1 10  3  1  4  3  1 10 14  1  9  2  1  5  1  1 10  4  8 13 11  2 10 15  1 12 14  7  0 14  9  1  8 13 15 12  1 11  5 12 14  0  4
 0  0  1  1  1  0  1  2  8  1 11 15 14  1  1  9 10 13 10  9  0 13  2  1  4  6 15 11  3  4  5  1  5  1 11  9  8  1 11  8  3 13 14  1  1  1 10  8 10 12 11 14  8  4 10 10  9  2
 0  0  0  2 10  8 10  4  0  2 14 14  8 14  6  2  8  4 14 12 14 12  2  8 12  4 12  8  8 10  8  8  6 12 10 14  6 10 12  2  4  8  6  6  4 12  2 14 14  8  2 10 12  0 10  4 14  8

generates a code of length 58 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+250x^52+1046x^53+1958x^54+2868x^55+3750x^56+4288x^57+4440x^58+4844x^59+3668x^60+2634x^61+1557x^62+738x^63+391x^64+180x^65+87x^66+24x^67+18x^68+12x^69+5x^70+6x^71+2x^72+1x^74

The gray image is a code over GF(2) with n=464, k=15 and d=208.
This code was found by Heurico 1.16 in 8.86 seconds.