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

generates a code of length 44 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+95x^40+158x^41+240x^42+396x^43+383x^44+328x^45+210x^46+100x^47+72x^48+26x^49+5x^50+16x^51+17x^52+1x^74

The gray image is a code over GF(2) with n=352, k=11 and d=160.
This code was found by Heurico 1.16 in 0.112 seconds.