The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^38+106x^39+232x^40+326x^41+780x^42+846x^43+1281x^44+1094x^45+1244x^46+804x^47+753x^48+296x^49+182x^50+64x^51+57x^52+22x^53+15x^54+18x^55+12x^56+6x^57+4x^58+2x^59+1x^62

The gray image is a code over GF(2) with n=360, k=13 and d=152.
This code was found by Heurico 1.16 in 0.885 seconds.