The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  4  4  2  1  4  2  1  2  1  8  0  1  1  4  2  1  1  1  2  1  1
 0 12  0  4  0  0  4 12  0  0 12 12  0  8 12  8 12  0 12 12  4 12  4  0 12  4  8  4 12  4 12  0  8  8 12  8  0  4  4  0  8 12  4  4 12  0  8 12  4
 0  0 12  4  0 12  4  0  0 12 12  8  8 12  4  4  0  8  0  0  4  4 12  8  0 12  4  4  0 12  0  4  4  4  0  4  0  4  8 12 12  8  4  8  8  4  4  8  8
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  0  0  0  8  8  0  0  8  8  0  8  8  8  0  8  0  8  8  0  8  8  8  0  0  0  8  0  0  0  8  8  0  8  0
 0  0  0  0  8  0  0  0  0  0  0  8  0  0  8  8  8  8  8  0  0  8  0  0  8  8  8  0  0  8  0  8  0  0  8  8  0  0  8  0  8  8  8  8  8  0  8  8  8
 0  0  0  0  0  8  0  0  0  0  0  0  0  8  0  0  8  8  8  8  0  0  0  8  8  0  0  8  0  0  0  8  0  8  8  8  0  8  8  8  0  8  8  0  0  8  8  0  0
 0  0  0  0  0  0  8  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  0  8  8  8  8  0  0  8  8  8  0  8  0  8  0  0  0  8  0  8  8  0  0  0  0  8  8
 0  0  0  0  0  0  0  8  0  0  8  0  8  8  0  0  0  8  8  0  8  0  8  0  8  8  8  8  8  0  0  8  0  8  0  8  8  8  8  0  0  8  0  8  8  0  0  8  8
 0  0  0  0  0  0  0  0  8  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  8  8  0  8  8  8  0  8  0  0  8  8  8
 0  0  0  0  0  0  0  0  0  8  0  0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  0  0  8  8  0  0  8  8  8  8  8  0  8  8  0  8  0  0  0  8  8  0  8

generates a code of length 49 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+109x^38+348x^40+28x^41+467x^42+228x^43+914x^44+1104x^45+1957x^46+3856x^47+4465x^48+5928x^49+4156x^50+3896x^51+2307x^52+1104x^53+740x^54+208x^55+542x^56+28x^57+203x^58+4x^59+104x^60+41x^62+20x^64+6x^66+3x^68+1x^70

The gray image is a code over GF(2) with n=392, k=15 and d=152.
This code was found by Heurico 1.16 in 93.3 seconds.