The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+82x^36+316x^37+674x^38+1272x^39+1191x^40+1330x^41+1233x^42+1072x^43+475x^44+286x^45+152x^46+54x^47+25x^48+18x^49+5x^50+1x^52+2x^53+2x^55+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 0.489 seconds.