The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 12  1  1  2  8  1  2  2  1  1  1  8  8  1  2  2  1  4  2  1  2  2
 0  2  0  0  8 10  6  6  8 10  0 14  0 10  2 12  4  2 12  0 14  8  4  2  6  2 10  0  2 14  2  4  8  4 12  8  2  4 10  8 14
 0  0  2  0 10 10 10  8  0 10  8  2 14  0 12 10 12 12  6  2  6  2 10  4  6  4  0  6  8 10  4  2 12 14 14  0 10  0  8  4  8
 0  0  0  2  2  8 10  2  4  4  6  6 14  6 12  4  4  2  4 14  8  6  4  0  6  0 14 12 12  0 10  8 10 14  2  6 14  2  2 14 12

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

Homogenous weight enumerator: w(x)=1x^0+369x^36+192x^37+940x^38+624x^39+1602x^40+928x^41+1498x^42+640x^43+787x^44+160x^45+328x^46+16x^47+84x^48+18x^50+4x^52+1x^56

The gray image is a code over GF(2) with n=328, k=13 and d=144.
This code was found by Heurico 1.16 in 8.39 seconds.