The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+62x^41+276x^42+372x^43+493x^44+696x^45+585x^46+520x^47+436x^48+254x^49+167x^50+96x^51+69x^52+42x^53+19x^54+4x^55+1x^58+2x^61+1x^64

The gray image is a code over GF(2) with n=368, k=12 and d=164.
This code was found by Heurico 1.16 in 0.311 seconds.