The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+7x^40+108x^41+7x^42+4x^49+1x^50

The gray image is a code over GF(2) with n=328, k=7 and d=160.
This code was found by Heurico 1.16 in 0.0217 seconds.