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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+18x^36+92x^38+144x^40+512x^41+184x^42+21x^44+44x^46+7x^48+1x^76

The gray image is a code over GF(2) with n=328, k=10 and d=144.
This code was found by Heurico 1.16 in 0.0539 seconds.