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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+134x^44+256x^46+110x^48+10x^52+1x^80

The gray image is a code over GF(2) with n=368, k=9 and d=176.
This code was found by Heurico 1.16 in 7.26 seconds.