The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+62x^38+266x^39+730x^40+1490x^41+2719x^42+4704x^43+7571x^44+9616x^45+11029x^46+9764x^47+7777x^48+4816x^49+2670x^50+1266x^51+573x^52+272x^53+119x^54+46x^55+18x^56+14x^57+9x^58+2x^59+2x^60

The gray image is a code over GF(2) with n=368, k=16 and d=152.
This code was found by Heurico 1.16 in 30.4 seconds.