The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  2  2  2  1  2  1  2  2  2  2  4  2  2  2  8  2  2
 0 12  0 12  0 12  0 12  0 12  0 12  0 12  8  4  8  4  8  8  0  4 12  0 12 12  4 12  4  8  4  8 12  0 12  8  0  8  4  8
 0  0  8  0  0  0  8  0  0  8  0  8  8  8  8  8  8  8  0  0  0  8  8  0  0  0  0  8  0  0  0  8  8  8  0  0  8  8  8  0
 0  0  0  8  0  0  0  8  8  8  8  8  8  0  8  0  0  0  8  0  0  8  8  8  0  0  8  0  0  8  8  0  8  8  8  0  0  8  0  0
 0  0  0  0  8  8  8  8  8  0  0  8  0  8  8  0  0  8  0  8  8  0  0  0  8  0  0  8  0  8  8  8  8  8  0  8  0  0  8  0

generates a code of length 40 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+34x^37+76x^38+128x^39+58x^40+146x^41+40x^42+2x^44+8x^45+12x^46+1x^48+2x^49+2x^52+2x^53

The gray image is a code over GF(2) with n=320, k=9 and d=148.
This code was found by Heurico 1.16 in 52.6 seconds.