The generator matrix

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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+102x^41+757x^42+2392x^43+6047x^44+11602x^45+19447x^46+30458x^47+38264x^48+42524x^49+39556x^50+31542x^51+19731x^52+11082x^53+5290x^54+2080x^55+839x^56+282x^57+91x^58+22x^59+14x^60+8x^61+11x^62+2x^63

The gray image is a code over GF(2) with n=392, k=18 and d=164.
This code was found by Heurico 1.16 in 432 seconds.