The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^36+854x^37+1235x^38+2320x^39+2294x^40+3178x^41+2258x^42+2130x^43+935x^44+710x^45+211x^46+140x^47+27x^48+8x^49+8x^50+2x^51+1x^52+2x^57

The gray image is a code over GF(2) with n=328, k=14 and d=144.
This code was found by Heurico 1.16 in 1.59 seconds.