The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+436x^53+983x^54+1540x^55+2137x^56+2402x^57+2180x^58+2066x^59+1728x^60+1304x^61+780x^62+444x^63+200x^64+80x^65+32x^66+46x^67+22x^68+1x^70+2x^73

The gray image is a code over GF(2) with n=464, k=14 and d=212.
This code was found by Heurico 1.16 in 2.67 seconds.