The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+418x^38+656x^39+936x^40+660x^41+484x^42+316x^43+311x^44+140x^45+142x^46+20x^47+5x^48+4x^50+3x^52

The gray image is a code over GF(2) with n=328, k=12 and d=152.
This code was found by Heurico 1.16 in 0.125 seconds.