The generator matrix

 1  0  1  1  1 14  1  1 12  1  1  2  1  1  8  1  1  6 10  4  1  1  1  1  2  1  1  1  1  1  2  1  1  1 12  1  6  0  1  8  2
 0  1 11 14  5  1  7 12  1  2  9  1  8  3  1  6 13  1  1  1  4 15 10  1  4  0 12 10 14  0  2 14  2 14  1  9  1  2  1  2 12
 0  0 12  4  8 12 12  0  0  4  8 12  4  8 12  0 12  0  8  4 12  0  8  4  4  0  8  0  8 12 12 12  4  0  4  8  0 12  4  0  8
 0  0  0  8  0  8  8  8  8  0  8  0  0  8  0  0  0  8  0  8  8  0  8  8  0  8  8  0  0  0  8  8  8  8  0  0  0  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+329x^38+160x^39+459x^40+264x^41+408x^42+152x^43+152x^44+56x^45+37x^46+8x^47+10x^48+10x^50+2x^52

The gray image is a code over GF(2) with n=328, k=11 and d=152.
This code was found by Heurico 1.16 in 1.88 seconds.