The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+276x^37+659x^38+1502x^39+1052x^40+1644x^41+1026x^42+948x^43+469x^44+396x^45+107x^46+78x^47+13x^48+20x^49+1x^52

The gray image is a code over GF(2) with n=328, k=13 and d=148.
This code was found by Heurico 1.16 in 0.469 seconds.