The generator matrix

 1  0  1  1  1  6  1  1  1 12  1 10  1  1  1  0  1  6  1  1  1  1  0  1  6  1 12 10  1  1  1  1 12  1  1 10  1  1  1  1
 0  1  3  6  5  1 15  9 12  1 10  1  5  3  0  1  6  1 15  9 15 12  1  6  1 10  1  1  0  5 12  5  1 13 10  1  9  3  6 14
 0  0  8  0  0  0  8  0  8  8  8  8  8  0  0  0  0  0  8  8  0  8  8  8  8  0  0  0  0  8  0  8  0  0  8  8  8  0  0  8
 0  0  0  8  0  8  8  8  8  8  0  0  0  0  8  8  0  0  0  8  8  0  0  8  8  0  0  8  8  8  0  0  8  0  0  8  0  8  0  0
 0  0  0  0  8  0  8  8  0  0  0  0  8  8  0  0  0  0  8  8  8  0  0  0  0  8  8  8  8  0  8  0  8  0  8  8  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+50x^36+224x^37+154x^38+544x^39+107x^40+544x^41+148x^42+224x^43+44x^44+2x^46+3x^48+2x^52+1x^56

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 0.0523 seconds.