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

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

Homogenous weight enumerator: w(x)=1x^0+30x^48+88x^49+179x^50+220x^51+278x^52+388x^53+573x^54+1098x^55+1699x^56+2356x^57+2743x^58+2334x^59+1689x^60+998x^61+545x^62+406x^63+208x^64+162x^65+138x^66+86x^67+53x^68+38x^69+45x^70+16x^71+10x^72+2x^73+1x^86

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 6.35 seconds.