The generator matrix

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

generates a code of length 46 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+64x^37+159x^38+238x^39+492x^40+944x^41+1293x^42+2630x^43+3602x^44+4358x^45+5266x^46+4328x^47+3642x^48+2596x^49+1358x^50+912x^51+412x^52+200x^53+95x^54+74x^55+40x^56+28x^57+21x^58+10x^59+2x^60+2x^61+1x^64

The gray image is a code over GF(2) with n=368, k=15 and d=148.
This code was found by Heurico 1.16 in 44.2 seconds.