The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+52x^37+183x^38+324x^39+504x^40+1630x^41+2336x^42+4944x^43+6496x^44+11560x^45+9766x^46+11034x^47+6356x^48+5672x^49+2277x^50+1294x^51+555x^52+252x^53+148x^54+66x^55+39x^56+34x^57+7x^58+2x^59+1x^60+3x^62

The gray image is a code over GF(2) with n=368, k=16 and d=148.
This code was found by Heurico 1.16 in 33.9 seconds.