The generator matrix

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

generates a code of length 48 over Z16 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+136x^43+348x^44+882x^45+944x^46+1360x^47+1104x^48+1334x^49+824x^50+672x^51+294x^52+146x^53+44x^54+52x^55+13x^56+22x^57+9x^58+4x^59+2x^62+1x^66

The gray image is a code over GF(2) with n=384, k=13 and d=172.
This code was found by Heurico 1.16 in 0.643 seconds.