The generator matrix

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

generates a code of length 52 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+94x^45+414x^46+954x^47+1756x^48+2566x^49+3496x^50+4410x^51+5454x^52+4694x^53+3506x^54+2410x^55+1418x^56+762x^57+460x^58+186x^59+122x^60+44x^61+12x^62+4x^63+1x^64+4x^67

The gray image is a code over GF(2) with n=416, k=15 and d=180.
This code was found by Heurico 1.16 in 9.6 seconds.