The generator matrix

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

generates a code of length 49 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+71x^42+364x^43+782x^44+1632x^45+2364x^46+3752x^47+4944x^48+5250x^49+4775x^50+3796x^51+2323x^52+1358x^53+711x^54+384x^55+123x^56+78x^57+26x^58+24x^59+3x^60+2x^61+5x^62

The gray image is a code over GF(2) with n=392, k=15 and d=168.
This code was found by Heurico 1.16 in 8.85 seconds.