The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+83x^38+616x^39+1122x^40+2652x^41+4631x^42+8246x^43+9479x^44+11788x^45+9724x^46+8322x^47+4482x^48+2644x^49+1023x^50+444x^51+142x^52+76x^53+23x^54+18x^55+5x^56+8x^57+4x^58+2x^59+1x^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 24.9 seconds.