The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+80x^38+538x^39+1276x^40+3242x^41+4473x^42+7770x^43+10075x^44+10810x^45+9729x^46+8276x^47+4504x^48+2748x^49+1144x^50+590x^51+174x^52+58x^53+29x^54+6x^55+1x^56+6x^57+1x^58+4x^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 24.3 seconds.