The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+146x^37+570x^38+1048x^39+1463x^40+2724x^41+4346x^42+6540x^43+10314x^44+10800x^45+10862x^46+6676x^47+4316x^48+2714x^49+1421x^50+830x^51+393x^52+218x^53+78x^54+40x^55+24x^56+6x^57+2x^59+1x^60+2x^62+1x^66

The gray image is a code over GF(2) with n=360, k=16 and d=148.
This code was found by Heurico 1.16 in 42.4 seconds.