The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+272x^39+189x^40+260x^41+94x^42+80x^43+32x^44+84x^45+1x^46+8x^47+1x^48+1x^54+1x^56

The gray image is a code over GF(2) with n=328, k=10 and d=156.
This code was found by Heurico 1.16 in 2.71 seconds.