The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+77x^38+282x^39+833x^40+1072x^41+2938x^42+3016x^43+6107x^44+4162x^45+6250x^46+2916x^47+2918x^48+1090x^49+691x^50+168x^51+113x^52+70x^53+20x^54+18x^55+12x^56+6x^57+7x^58+1x^62

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 8.13 seconds.