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  1  1  1  1  1  2  1  4  1  4  4  8  4  0  1  0  1  1  2  4  1  2  2  1
 0 12  0  0  0  0  0  0  0 12 12  4  4  4  4  4  0 12  4  8  8 12  4  0  4  4  8  0  4 12  8 12 12  8 12 12 12  4  0  0  0  0  0  8  4  8 12  4  4  4 12  8  4  4  8  0 12  0
 0  0 12  0  0  0  4 12  4  4 12  8  4  8  8  4  0  4  0 12  8  0  8  4  8  4  4  4  8  4  4  0  0  0 12  0  8  4 12  4  8  4  0 12 12  4  8  0  8  8  4  8  8  4  8  4 12  4
 0  0  0 12  0  4  4 12  0  8 12 12 12 12  8  0 12  0  0  4  0 12 12  4  8  8  8 12  4 12  8  0  0 12  0  8  4 12  4  4 12  0  0  4  8 12  0  8  4  4  4  0  0  4  4 12  8 12
 0  0  0  0 12  4  0 12  4 12  8  4 12  8 12  0  4  4  0  8  4  4  4  4  8  8  0  4  8  0 12  4  4 12  0  8  8 12 12  8  8 12  8  8  0  8  8  8  0 12  8  0  4 12  8  0 12  4
 0  0  0  0  0  8  0  0  8  8  0  8  0  0  8  8  0  0  0  8  8  8  0  8  8  0  8  0  8  8  8  8  0  0  8  0  0  0  8  0  0  8  8  8  0  0  0  8  0  0  8  0  8  0  0  8  8  8
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  8  8  0  8  8  8  0  8  8  8  8  0  8  8  8  0  0  0  0  0  0  8  0  8  0  8  0  0  8  8  0  0  0  0  8  0  0  0  0  0  8  0  8  0
 0  0  0  0  0  0  0  8  0  0  0  0  8  0  0  8  8  8  0  8  0  0  8  0  8  0  8  8  0  0  8  8  0  0  0  8  8  0  8  8  8  8  0  0  8  0  8  8  0  0  8  8  8  8  0  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+72x^47+139x^48+220x^49+288x^50+338x^51+482x^52+748x^53+1252x^54+2314x^55+3499x^56+4504x^57+5071x^58+4486x^59+3540x^60+2352x^61+1269x^62+772x^63+413x^64+292x^65+254x^66+182x^67+104x^68+68x^69+54x^70+26x^71+11x^72+8x^73+3x^74+2x^75+1x^76+1x^78+1x^80+1x^92

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 23.8 seconds.