The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  8  2  1  2  0  4  8  1  4  1  1  2  4  1  2  1 12  1  4  2  1  4  1  1  1
 0  2  0  0  0  2  6 14  8  8 14  2  6  4  8  6  4  0 14  2  4 14 12  0  2 12  4  2  2 10  0  8  2  2 14 10  2 14  4 12  4  2 14 14  0
 0  0  2  0  2  2 10  0 12 14  8 14  2 12  6  4  8  8  6 10  2  0  2 12  4  2 12 14  4 10  0 14  6  8 12  6 12 14  2 14  8 10 12  8  0
 0  0  0  2  2  8 10  2  4  0 14  2  8  2  2  0 10  4  2 12 14  2 14 10 10 12  2  6  6 14  4  2  6  8  6 10  8 10  2  0 10  2  4 10  0
 0  0  0  0  8  8  0  8  8  8  0  8  0  8  0  8  8  8  8  0  8  0  0  0  8  8  0  8  0  0  0  0  0  8  8  0  0  8  0  8  0  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+58x^38+264x^39+553x^40+834x^41+1298x^42+1798x^43+2207x^44+2318x^45+2630x^46+1582x^47+1133x^48+842x^49+397x^50+218x^51+131x^52+66x^53+30x^54+10x^55+7x^56+4x^57+3x^58

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 2.98 seconds.