The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  0  1  1  1  6  1  1 10  1  1 12  1  1  1  0  6  1  1  1 12 10  1 10 12  1  6  2  1  6  1  1  6  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  1  3  6  5  1 12  9  1 10 15  1  0  9  3  1  1  6 15 12  1  1  3  1  1  0  1  6  5  1  9  5  1  3  5  0  0
 0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  0  8  8  8  8  8  0  8  0  0  0  8  8  8  8  0  8  8  0  8  8  0  0  8  0  8  0  0  8  8  0  8  0  0
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  0  8  8  0  0  0  0  0  8  8  8  8  8  0  8  0  0  0  0  8  8  0  8  0  8  8  8  0  8  0  0  8  0  0
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  8  0  8  0  8  8  8  0  8  0  0  0  0  8  0  0  8  0  8  0  0  0  8  8  0  0  8  8  8  0  0
 0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  8  0  8  0  8  0  8  8  8  0  0  8  0  0  8  8  0  8  0  8  8  0  8  8  8  0  0  8  8  0  8  8  0  8
 0  0  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  8  8  0  0  8  0  0  0  0  8  8  0  0  0  0  8  0  0  0  8  8  0  0  0  8  8  8  8  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+22x^42+72x^43+139x^44+422x^45+504x^46+1148x^47+1002x^48+1594x^49+1021x^50+1136x^51+496x^52+410x^53+108x^54+76x^55+17x^56+6x^57+4x^58+3x^60+4x^62+3x^64+1x^66+2x^68+1x^72

The gray image is a code over GF(2) with n=392, k=13 and d=168.
This code was found by Heurico 1.16 in 0.626 seconds.