The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+63x^16+32x^17+148x^18+372x^19+816x^20+1682x^21+2779x^22+5346x^23+6367x^24+10984x^25+8314x^26+11008x^27+6344x^28+5372x^29+2883x^30+1676x^31+720x^32+360x^33+192x^34+28x^35+24x^36+2x^37+17x^38+2x^39+1x^40+2x^42+1x^46

The gray image is a code over GF(2) with n=104, k=16 and d=32.
This code was found by Heurico 1.16 in 23.1 seconds.