The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+84x^38+224x^39+769x^40+1154x^41+2756x^42+3566x^43+5290x^44+5168x^45+5537x^46+3302x^47+2691x^48+1164x^49+611x^50+186x^51+138x^52+64x^53+35x^54+18x^55+7x^56+2x^57+1x^58

The gray image is a code over GF(2) with n=360, k=15 and d=152.
This code was found by Heurico 1.16 in 8.25 seconds.