The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+152x^51+430x^52+868x^53+1765x^54+2588x^55+3801x^56+4342x^57+5009x^58+4490x^59+3931x^60+2412x^61+1368x^62+778x^63+447x^64+168x^65+106x^66+54x^67+23x^68+16x^69+7x^70+2x^71+6x^72+2x^73+1x^74+1x^80

The gray image is a code over GF(2) with n=464, k=15 and d=204.
This code was found by Heurico 1.16 in 11.1 seconds.