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

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

Homogenous weight enumerator: w(x)=1x^0+74x^48+438x^49+839x^50+1306x^51+2207x^52+3388x^53+4784x^54+6612x^55+8349x^56+9438x^57+8176x^58+7330x^59+4912x^60+3150x^61+1846x^62+1162x^63+766x^64+366x^65+254x^66+76x^67+43x^68+2x^69+4x^70+10x^71+2x^73+1x^74

The gray image is a code over GF(2) with n=456, k=16 and d=192.
This code was found by Heurico 1.16 in 57.3 seconds.