The generator matrix

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

generates a code of length 40 over Z16 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+6x^38+30x^39+201x^40+9x^42+6x^44+1x^50+2x^55

The gray image is a code over GF(2) with n=320, k=8 and d=152.
This code was found by Heurico 1.16 in 0.0225 seconds.