The generator matrix

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

generates a code of length 36 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+50x^26+106x^28+120x^30+206x^32+340x^34+6558x^36+344x^38+199x^40+130x^42+70x^44+32x^46+25x^48+8x^50+2x^52+1x^56

The gray image is a code over GF(2) with n=288, k=13 and d=104.
This code was found by Heurico 1.16 in 1.11 seconds.