The generator matrix

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

generates a code of length 40 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+181x^36+96x^37+120x^38+352x^39+578x^40+288x^41+216x^42+32x^43+159x^44+16x^46+8x^48+1x^72

The gray image is a code over GF(2) with n=320, k=11 and d=144.
This code was found by Heurico 1.16 in 0.12 seconds.