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

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

Homogenous weight enumerator: w(x)=1x^0+54x^49+244x^50+440x^51+579x^52+1028x^53+1639x^54+2378x^55+3418x^56+4334x^57+4679x^58+4302x^59+3443x^60+2352x^61+1527x^62+1034x^63+597x^64+320x^65+177x^66+98x^67+53x^68+34x^69+18x^70+4x^71+4x^72+4x^73+4x^74+1x^76+2x^77

The gray image is a code over GF(2) with n=464, k=15 and d=196.
This code was found by Heurico 1.16 in 17.1 seconds.