The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+82x^37+282x^38+576x^39+954x^40+1630x^41+2689x^42+4268x^43+7086x^44+9684x^45+10801x^46+9970x^47+6991x^48+4466x^49+2822x^50+1466x^51+838x^52+496x^53+220x^54+102x^55+62x^56+24x^57+17x^58+2x^59+4x^60+2x^61+1x^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 55.7 seconds.