The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+89x^36+200x^37+296x^38+480x^39+678x^40+752x^41+642x^42+416x^43+225x^44+152x^45+76x^46+32x^47+23x^48+16x^49+10x^50+6x^52+1x^56+1x^64

The gray image is a code over GF(2) with n=328, k=12 and d=144.
This code was found by Heurico 1.16 in 0.21 seconds.