The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+46x^49+99x^50+150x^51+306x^52+462x^53+966x^54+972x^55+2240x^56+1416x^57+3056x^58+1520x^59+2309x^60+968x^61+870x^62+396x^63+232x^64+154x^65+104x^66+26x^67+24x^68+26x^69+18x^70+8x^71+6x^72+4x^74+1x^76+2x^78+1x^80+1x^82

The gray image is a code over GF(2) with n=464, k=14 and d=196.
This code was found by Heurico 1.16 in 5.74 seconds.