The generator matrix

 1  0  1  1  1  4  1  2  1  1  1 14  0  1  1  1  1  2  1  1 10  1 12  1  1  1 14 12  1  1  1  1  0  0  2 12  0  1  2  8  1  1  1  2  1
 0  1  1  0  3  1 15  1  6  5  2  1  1  8 11 10 11  1  0  2  1  1  1  9  8  7  1  1  7  6 14 11  1  4 12  1  4 12  6  1  1  3  5  8  3
 0  0  2  6  0  2  6  2  0  8  6 12 12  4  4  2  2 12 10 12  6  6 10 12  0  6 14  0  2  4 10 14  2  2 10  4  2  2 14  4  0  2  8  6  4
 0  0  0 12  0  0  8  8  0  0  4  0  0  8  8  4  0  0 12  8  8  4 12  4 12 12 12 12  0  4  8  4  4  8  0  4 12  4  0  0  8  8 12 12  4
 0  0  0  0  8  0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  8  0  8  0  8  0  8  8  8  0  0  8  0  0  8  8  0  0  8  8  8  0  8  8  8
 0  0  0  0  0  8  8  0  8  8  8  8  0  0  8  0  0  8  8  8  0  0  0  8  8  8  0  0  8  0  0  8  0  0  8  8  8  8  0  8  0  0  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+73x^38+274x^39+698x^40+1428x^41+2897x^42+3280x^43+5303x^44+4886x^45+5451x^46+3480x^47+2648x^48+1120x^49+707x^50+312x^51+101x^52+48x^53+24x^54+14x^55+17x^56+4x^57+2x^61

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.