The generator matrix

 1  1  1  1  1  1  1  2  1  0  1  1  2  1  0  1  1  2  0  0  1  1  1  1  1  1
 0  2  0  6  0  6  0  2  6  2  0  6  6  4  2  6  6  6  2  2  6  6  0  6  0  0
 0  0  4  0  0  0  0  0  0  0  0  0  0  4  0  4  4  0  4  4  0  4  4  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  0  0  0  0  0
 0  0  0  0  4  0  0  0  0  0  0  0  4  4  4  0  4  4  0  4  0  0  4  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  4  4  0  0  0  4  4  4  4  0  4  0  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  4  0  4  4  4  0  0  0  4  4  0  4  0  0  0
 0  0  0  0  0  0  0  4  0  0  4  0  0  4  4  4  0  4  4  0  0  0  4  0  0  0
 0  0  0  0  0  0  0  0  4  0  4  4  0  4  0  0  0  4  0  4  0  4  4  0  0  0
 0  0  0  0  0  0  0  0  0  4  4  0  4  4  4  0  0  0  4  4  4  4  4  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+97x^16+65x^18+32x^19+126x^20+224x^21+290x^22+544x^23+845x^24+1248x^25+1175x^26+1248x^27+884x^28+544x^29+412x^30+224x^31+78x^32+32x^33+63x^34+14x^36+34x^38+3x^40+9x^42

The gray image is a code over GF(2) with n=104, k=13 and d=32.
This code was found by Heurico 1.16 in 0.84 seconds.