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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  2
 0 12  0  4  0  0  4 12  0  8 12 12  0  8 12 12  0  4  4  8  8 12  0  4  4  0 12  0  8  8 12 12  4 12  4  0  4  8  4 12 12  8  8  0  0  8  4 12 12
 0  0 12  4  0 12  4  0  0  4  4  8  0  4  4  8  8  4  8 12  8  8  4 12  8  8  4  4 12  8 12  0  8  0  0  8  4  8 12 12  4  0  4 12  4  4 12  0  0
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  0  0  8  8  0  8  0  8  0  8  0  0  0  8  8  0  8  8  8  0  8  0  8  8  0  0  8  8  8  8  8  0
 0  0  0  0  8  8  8  8  8  8  8  0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  8  8  0  8  8  0  0  8  0  8  8  8  0  0  0  0  8

generates a code of length 49 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+30x^45+38x^46+48x^47+90x^48+616x^49+96x^50+44x^51+19x^52+26x^53+10x^54+4x^55+1x^56+1x^92

The gray image is a code over GF(2) with n=392, k=10 and d=180.
This code was found by Heurico 1.16 in 0.1 seconds.