The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+517x^36+1370x^37+2717x^38+4026x^39+5109x^40+5442x^41+5227x^42+3950x^43+2447x^44+1230x^45+547x^46+86x^47+50x^48+22x^49+21x^50+2x^51+4x^52

The gray image is a code over GF(2) with n=328, k=15 and d=144.
This code was found by Heurico 1.16 in 20.5 seconds.