The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  2  0  2  1  1  1  2  8  1  2  4  1  1  0  1  1  0  1  1  1 12  1  1  1  4  2  1  1
 0  2  0  6  0  6  4  2  4 14  2 12  0 14  4  6 10  0  8  6  2 14  2  6 12  2  0  6  2  6  2  2  2 12  2  8  0  2 10 10  0  2 14 12  0  4  2  4  8
 0  0 12  0  0  0  4  8  0  4  4  8  4  0 12  4  0 12  8  0  0  8  0  0  4  4  4 12 12 12 12  8  8  8  4  4 12  8  0 12  0  0  4  0  8  4  8  8  4
 0  0  0 12  0  0  0  4  8  4  4  8  4  0  4  0 12  8  4  4  8  0  0 12 12  8 12  4  8  0  4  8  4 12  0  8  8 12  0  8 12  4  8  4 12 12  0  0  0
 0  0  0  0 12  0  0  0  4  4 12  8  8  4  4  8  4 12  4  4  4  4  0  4  8  0  4  0  8  4  4 12  0  8 12  8 12  4  4  4  0 12  0  4  0  4  4  8  8
 0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  0  0  8  0  8  8  8  8  0  0  0  8  0  0  8  0  8  0  0  8  8  8  0  8  8  8  8  0  8  8  8  8  0
 0  0  0  0  0  0  8  8  8  0  8  8  0  8  8  8  0  8  8  8  8  0  8  0  8  0  0  0  8  8  0  0  0  0  0  0  8  0  0  0  0  8  0  8  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+169x^40+4x^41+438x^42+256x^43+957x^44+996x^45+2612x^46+3440x^47+5082x^48+4972x^49+5028x^50+3392x^51+2653x^52+1036x^53+908x^54+208x^55+340x^56+32x^57+158x^58+69x^60+8x^62+7x^64+1x^68+1x^72

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 15.3 seconds.