The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+38x^48+178x^50+490x^52+1496x^54+3577x^56+4877x^58+3566x^60+1472x^62+475x^64+144x^66+28x^68+12x^70+13x^72+9x^74+2x^76+4x^78+2x^84

The gray image is a code over GF(2) with n=464, k=14 and d=192.
This code was found by Heurico 1.16 in 5.19 seconds.