The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+93x^38+518x^39+1177x^40+2768x^41+4573x^42+8180x^43+9499x^44+11898x^45+9694x^46+8270x^47+4437x^48+2658x^49+1038x^50+434x^51+164x^52+78x^53+21x^54+4x^55+17x^56+6x^57+5x^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 seconds.