The generator matrix

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

generates a code of length 45 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+283x^38+508x^39+1692x^40+2312x^41+5259x^42+6668x^43+11229x^44+9764x^45+11163x^46+6612x^47+5448x^48+2308x^49+1395x^50+420x^51+301x^52+76x^53+70x^54+15x^56+4x^57+6x^58+2x^60

The gray image is a code over GF(2) with n=360, k=16 and d=152.
This code was found by Heurico 1.16 in 76.8 seconds.