The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  6  1  1  0  1  1  6  1  1  1  1  2  2  1  1
 0  1  3  6  1  1  0  3  1  6  5  1  0  3  1  6  5  1  0  3  0  3  0  0  0  0
 0  0  4  0  0  0  0  0  0  0  0  0  4  0  4  4  0  4  4  0  0  4  4  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  0  4  4  4  4  4  4  4  4  0  0
 0  0  0  0  4  0  0  0  0  0  0  0  4  4  0  0  4  4  4  0  0  4  4  0  4  4
 0  0  0  0  0  4  0  0  0  0  0  4  0  4  0  4  0  4  4  0  0  4  0  4  4  4
 0  0  0  0  0  0  4  0  0  0  0  4  0  0  4  4  4  4  0  0  4  0  0  4  0  0
 0  0  0  0  0  0  0  4  0  0  4  0  0  0  0  4  4  4  4  0  4  0  4  0  0  0
 0  0  0  0  0  0  0  0  4  0  4  4  4  0  4  0  0  4  0  4  4  4  0  4  0  0
 0  0  0  0  0  0  0  0  0  4  4  4  4  4  0  0  0  0  4  4  0  4  0  0  0  0

generates a code of length 26 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+74x^16+8x^17+40x^18+56x^19+311x^20+304x^21+352x^22+1744x^23+884x^24+4032x^25+752x^26+4032x^27+907x^28+1744x^29+352x^30+304x^31+317x^32+56x^33+40x^34+8x^35+61x^36+4x^40+1x^44

The gray image is a code over GF(2) with n=104, k=14 and d=32.
This code was found by Heurico 1.16 in 1.99 seconds.