The generator matrix

 1  0  1  1  1  6  1  1  8  1 14  1  1  1  0  1  1 14  1  1  1  2 12  1  1  1  4 14  1  1  1  1  6  8  1  1  1  1  8  1  8 14  8  1  1 12  2  1  1 12 12  2  1  0  1  1  1
 0  1 11  6 13  1  0  3  1  6  1  5  2 11  1 13  0  1  5  6  7  1  1 12  3 14  1  1  8  1  7  1  1  1  5  9  4 14  1  7  1  1  2  6 15  1 12  1  4  2  1  8 12  2 10  0  0
 0  0 12  0  4  0  0  4  8  0  8  4  0  0  4  8 12 12  0  4 12  8 12  4  4 12  8  4 12 12  0  8  8  4  0  8  8  0 12  4  4  4  0  0  0  0  4  4  8  4  8  4  0  4  8  0  0
 0  0  0 12  0  0 12  4 12  8  4  4 12  4  4  4  4  0  8  4  0  4 12 12 12  8 12  0  8  0 12 12  0  8  0  8 12  4  0  8  4  8 12  0  0  8 12  0  4  4  0  8  4 12  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  8  0  8  0  8  0  8  8  8  8  8  8  8  8  8  8  0  0  8  0  8  8  0  0  8  8  0  0  0  0  0  0  0
 0  0  0  0  0  8  0  0  8  8  8  8  8  0  8  8  8  0  8  0  0  0  0  0  0  0  8  8  0  8  8  0  8  8  0  0  8  0  0  8  0  0  8  8  8  8  0  8  0  8  0  8  0  8  0  8  0
 0  0  0  0  0  0  8  8  8  0  0  8  0  8  8  8  0  8  0  0  8  0  8  8  0  8  8  0  8  0  8  0  8  8  8  0  8  0  0  0  0  0  0  8  8  0  0  8  0  0  8  8  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+46x^48+110x^49+203x^50+462x^51+858x^52+1520x^53+2517x^54+3626x^55+4578x^56+5024x^57+4655x^58+3642x^59+2487x^60+1400x^61+733x^62+426x^63+192x^64+126x^65+64x^66+32x^67+27x^68+8x^69+18x^70+4x^71+3x^72+4x^73+2x^74

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 11.8 seconds.