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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+109x^38+445x^40+358x^42+65x^44+45x^46+1x^76

The gray image is a code over GF(2) with n=328, k=10 and d=152.
This code was found by Heurico 1.16 in 0.0597 seconds.