The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^44+5x^48+2x^56

The gray image is a code over GF(2) with n=352, k=6 and d=176.
This code was found by Heurico 1.16 in 0.0393 seconds.