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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+28x^36+172x^37+52x^38+216x^39+50x^40+988x^41+47x^42+288x^43+44x^44+116x^45+28x^46+8x^47+5x^48+4x^49+1x^74

The gray image is a code over GF(2) with n=328, k=11 and d=144.
This code was found by Heurico 1.16 in 0.0869 seconds.