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

generates a code of length 57 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+226x^48+68x^49+490x^50+524x^51+1040x^52+1560x^53+2306x^54+3496x^55+4161x^56+4940x^57+4096x^58+3740x^59+2475x^60+1536x^61+910x^62+432x^63+377x^64+88x^65+172x^66+92x^68+24x^70+11x^72+2x^74+1x^76

The gray image is a code over GF(2) with n=456, k=15 and d=192.
This code was found by Heurico 1.16 in 19 seconds.