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

generates a code of length 50 over Z16 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+108x^44+80x^45+162x^46+272x^47+368x^48+800x^49+506x^50+800x^51+404x^52+272x^53+150x^54+80x^55+66x^56+14x^58+8x^60+4x^64+1x^80

The gray image is a code over GF(2) with n=400, k=12 and d=176.
This code was found by Heurico 1.16 in 0.409 seconds.