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  1  1  2  1  1  1  1  1  2  1  1  4  4  1  2  2  4  2  0  2  2  2  4  4  1  2
 0 12  0  0  0  0  0  0  0  0  0  8  4  4  4  8 12  0 12 12  4  8  8  8  4  0 12 12  0  4 12  8  4 12  8  0  8  4  8  4  8  8 12  0  0 12 12  8 12  0  8 12 12 12  4 12  0  0
 0  0 12  0  0  0  0  0  0  0  0 12  8 12  4  4 12  4  4  0  8  0 12 12  4  4  0  8  8  4  8  8  0  4  0 12 12 12  4  8  8 12  4  4  8  8  4  0  0 12  8  8  8  0  8 12 12  8
 0  0  0 12  0  0  0  4 12 12  8  4 12  0 12  4  8  0 12 12  8 12  8 12  0  4 12  4  0 12 12  4  0  4 12  8  4  4  0  8  8  8  4  4 12 12  0 12  4  8  8 12  4 12  4  4  4 12
 0  0  0  0 12  0  4  4  4  0  8  0  0  0  0  0  0  8  8 12  4  4  4  4 12 12  8  4  0  8  4  4  8 12  8  4  4 12 12  8 12  4 12  4 12  0  0  0 12  4  4 12  8  0  0  0  0  4
 0  0  0  0  0 12  4  8  4  4  0  0  0  0  0  4  4  4 12  0  8  0  4  8  0  4  8  8 12  0  4  4  4  0  4  0 12  8  4  8  4  8  4  4  8 12 12  4  0 12  0  0  4  8  8  8  4  0
 0  0  0  0  0  0  8  8  0  8  8  8  8  8  0  8  8  0  0  8  0  0  0  8  0  0  0  0  8  8  0  8  8  0  0  8  8  8  8  8  0  0  8  0  8  0  0  0  0  0  8  8  0  0  8  0  0  8

generates a code of length 58 over Z16 who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+62x^47+137x^48+214x^49+319x^50+382x^51+472x^52+762x^53+1151x^54+1990x^55+3395x^56+4864x^57+5386x^58+4602x^59+3570x^60+2180x^61+1044x^62+704x^63+486x^64+340x^65+235x^66+176x^67+116x^68+72x^69+52x^70+20x^71+13x^72+14x^73+4x^74+2x^76+2x^77+1x^86

The gray image is a code over GF(2) with n=464, k=15 and d=188.
This code was found by Heurico 1.16 in 23.9 seconds.