The generator matrix

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

generates a code of length 26 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+35x^14+146x^16+256x^18+258x^20+322x^22+512x^23+604x^24+1536x^25+25380x^26+1536x^27+638x^28+512x^29+372x^30+269x^32+216x^34+126x^36+38x^38+4x^40+4x^42+2x^44+1x^46

The gray image is a code over GF(2) with n=208, k=15 and d=56.
This code was found by Heurico 1.16 in 3.38 seconds.