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  2  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  0  8  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  0  8  8  0
 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  0  8  8  0  0
 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  0  8  8  0  0  0

generates a code of length 38 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+15x^36+222x^38+15x^40+1x^44+2x^54

The gray image is a code over GF(2) with n=304, k=8 and d=144.
This code was found by Heurico 1.16 in 0.0179 seconds.