The generator matrix

 1  0  1  1  1 14  1  1  6  1  8  1  4  1  1  1  1  2 12  1 14  1  1  1  1 10  0  6  1  1  2  1  2  1  1  1
 0  1 11 14  5  1  0  3  1  6  1 13  1  4 15 10  1  1  1 12  1  7  0  2  9  1  1  1 13  5  8 11 14  8  0  0
 0  0 12  4  0  4 12  0  0  8 12 12  4  4  8  0 12  4  0  0  4 12  8  4  8  8  8  8  4  8  4 12  4 12  0  0
 0  0  0  8  0  0  0  0  0  0  0  8  8  8  0  8  0  8  8  8  0  0  0  8  0  8  0  0  8  8  0  0  8  8  8  0
 0  0  0  0  8  0  0  0  0  8  8  0  0  0  8  0  8  8  8  0  8  0  8  0  0  0  0  8  8  0  8  8  8  0  8  0
 0  0  0  0  0  8  0  0  0  0  8  0  8  0  0  0  0  8  0  8  8  0  8  8  0  8  8  0  0  0  8  8  0  8  0  0
 0  0  0  0  0  0  8  0  0  0  0  8  8  0  0  8  0  0  0  8  8  8  8  8  8  0  0  8  8  0  0  0  8  8  0  0
 0  0  0  0  0  0  0  8  0  8  8  0  0  0  0  0  8  0  0  8  0  8  8  0  8  8  0  8  0  8  0  0  8  8  0  0
 0  0  0  0  0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  0  8  8  8  8  0  8  0  0  8  0  8  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+42x^26+18x^27+115x^28+184x^29+324x^30+878x^31+1516x^32+4406x^33+7823x^34+11048x^35+13133x^36+10508x^37+7837x^38+4768x^39+1502x^40+744x^41+317x^42+182x^43+101x^44+28x^45+38x^46+2x^47+13x^48+2x^49+1x^50+3x^52+1x^54+1x^58

The gray image is a code over GF(2) with n=288, k=16 and d=104.
This code was found by Heurico 1.16 in 19.9 seconds.