The generator matrix

 1  0  1  1  4  1 10  1  1  1  1  6 10  1  1  1  1  4  1  1 10  1  1  8  1  1  4  2  0  1  4  1  1  1  2  1 10  1  1  1  8  1  2  8  1  1
 0  1  1  6  1  7  1  4 15  2  5  1  1  8  3 14 13  1 10  9  1  4 11  1  8  7  1  0  2  6  1  4  6 11  1  7  1  1  1  3  1 13  6  1 13  0
 0  0  2  0 10  2  6 10  8 10  8  0 10 14  6 14  6  6  0  8  0  4  4 12 12 12  4  6  6 12 14  2 10 10 12  8 10  4  2 14 10  0 14  0  4 12
 0  0  0  8  0  8  8  8  8  0  0  8  8  8  8  0  0  0  0  8  0  8  0  8  0  8  0  0  8  8  8  0  8  0  8  0  0  0  8  0  8  8  8  8  8  8

generates a code of length 46 over Z16 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+147x^42+412x^43+638x^44+672x^45+733x^46+444x^47+441x^48+272x^49+162x^50+100x^51+35x^52+16x^53+13x^54+4x^55+4x^56+1x^58+1x^60

The gray image is a code over GF(2) with n=368, k=12 and d=168.
This code was found by Heurico 1.16 in 0.246 seconds.