The generator matrix

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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+36x^40+64x^41+143x^42+336x^43+556x^44+1544x^45+2191x^46+3954x^47+4766x^48+5570x^49+4794x^50+4090x^51+2181x^52+1450x^53+498x^54+310x^55+112x^56+70x^57+39x^58+14x^59+22x^60+6x^61+15x^62+5x^64+1x^68

The gray image is a code over GF(2) with n=392, k=15 and d=160.
This code was found by Heurico 1.16 in 9.34 seconds.