The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+360x^34+1492x^35+4471x^36+9664x^37+19100x^38+29888x^39+41422x^40+48340x^41+42072x^42+31252x^43+19054x^44+9000x^45+3968x^46+1304x^47+561x^48+132x^49+32x^50+27x^52+4x^54

The gray image is a code over GF(2) with n=328, k=18 and d=136.
This code was found by Heurico 1.16 in 333 seconds.