The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  0  1  1  6  1  1 12  1  1 10  1  1  1  0  1  6  1  1  1 10  1  1 12  0  1  1  6 12  1  1  1  1  1 10  1 12  6  1 10  1  1  1 10  1  4  1
 0  1  3  6  5  1 12  7  1 10  9  1  1  0  5  1  6  3  1 15 12  1  9 10  9  1  0  1  3  6 12  1 10  0  1  1 15  5  1  1  5  9  0  3 12  1 12  1  1  0  1  0  5  6  1  6  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  8  8  8  8  8  0  8  0  0  8  0  0  8  8  8  8  8  0  0  8  8  0  0  8  0  8  0  8  8  0  0  0  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  8  0  8  0  8  0  0  8  0  8  8  8  0  8  0  8  0  8  8  8  8  0  8  8  0  0  8  0  8  0  0  0  8  8  0  0  0  0  8  8  0  0  8  8  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  0  8  8  8  8  8  0  0  8  0  8  8  8  8  8  0  0  8  0  8  8  8  8  8  8  8  0  0  8  8  0  0  0  0  0  8  8  0  0  8  0  8  8  8  0
 0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  0  0  8  8  8  8  0  0  8  8  0  0  8  0  0  0  0  0  0  8  0  8  0  0  8  8  8  8  0  8  8  8  0  8  8  0  0  0  8  0  8  8  0
 0  0  0  0  0  0  8  0  0  8  8  0  0  8  8  0  0  8  8  0  0  8  8  8  0  0  8  8  8  8  8  0  0  0  8  8  0  0  0  8  8  0  8  8  0  0  0  8  8  0  8  8  0  0  8  8  8  0
 0  0  0  0  0  0  0  8  0  8  0  0  0  0  0  0  8  8  0  8  0  8  8  0  8  8  0  8  8  8  8  0  8  8  0  8  0  8  0  0  0  8  0  8  0  8  0  0  0  0  8  0  8  0  8  0  8  0
 0  0  0  0  0  0  0  0  8  0  8  8  0  0  8  8  8  8  0  8  0  0  8  8  0  0  8  8  0  8  0  8  0  8  0  8  8  8  0  0  8  8  0  8  8  0  8  8  8  8  8  8  8  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+62x^48+54x^49+139x^50+120x^51+490x^52+554x^53+1816x^54+1864x^55+4591x^56+3516x^57+6311x^58+3608x^59+4627x^60+1844x^61+1795x^62+536x^63+427x^64+174x^65+142x^66+16x^67+32x^68+2x^69+14x^70+7x^72+15x^74+3x^76+7x^78+1x^82

The gray image is a code over GF(2) with n=464, k=15 and d=192.
This code was found by Heurico 1.16 in 11.9 seconds.