The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+19x^42+46x^43+68x^44+260x^45+98x^46+850x^47+84x^48+1272x^49+73x^50+850x^51+85x^52+260x^53+53x^54+46x^55+13x^56+8x^58+3x^60+4x^62+2x^64+1x^78

The gray image is a code over GF(2) with n=392, k=12 and d=168.
This code was found by Heurico 1.16 in 0.323 seconds.