The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+19x^38+134x^39+281x^40+628x^41+1069x^42+1978x^43+2506x^44+3276x^45+2477x^46+1952x^47+1019x^48+588x^49+249x^50+108x^51+26x^52+20x^53+22x^54+18x^55+7x^56+2x^58+2x^59+2x^62

The gray image is a code over GF(2) with n=360, k=14 and d=152.
This code was found by Heurico 1.16 in 2.23 seconds.