The generator matrix

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

generates a code of length 40 over Z16 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+15x^34+41x^36+60x^38+128x^39+569x^40+128x^41+38x^42+18x^44+8x^46+4x^48+3x^50+5x^52+4x^54+1x^56+1x^64

The gray image is a code over GF(2) with n=320, k=10 and d=136.
This code was found by Heurico 1.16 in 0.0405 seconds.