The generator matrix

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

generates a code of length 26 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+121x^22+401x^24+256x^25+532x^26+256x^27+344x^28+110x^30+21x^32+4x^34+1x^38+1x^40

The gray image is a code over GF(2) with n=208, k=11 and d=88.
This code was found by Heurico 1.16 in 96.4 seconds.