The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  2  1  1  1  2  1
 0  4  0  0  0  0  0  0  0  0  0  0  0  0  4  0  0  0  4  4  4  4  4  0  4
 0  0  4  0  0  0  0  0  0  0  0  0  0  0  4  0  4  4  4  0  4  0  4  4  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  4  0  0  4  4  4  4  0  4  4  0  0
 0  0  0  0  4  0  0  0  0  0  0  0  0  4  0  4  0  4  4  0  4  4  0  0  4
 0  0  0  0  0  4  0  0  0  0  0  0  4  0  0  4  0  4  4  0  0  4  4  4  0
 0  0  0  0  0  0  4  0  0  0  0  0  4  0  0  0  4  0  0  4  4  4  4  4  0
 0  0  0  0  0  0  0  4  0  0  0  4  0  0  0  0  4  0  4  4  0  0  4  4  4
 0  0  0  0  0  0  0  0  4  0  0  4  0  0  0  4  0  0  0  4  4  4  0  4  4
 0  0  0  0  0  0  0  0  0  4  0  4  4  4  4  4  4  0  4  4  4  0  4  0  4
 0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  0  0  0  0  0  4  4  4  0  0

generates a code of length 25 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+190x^16+361x^20+256x^22+1382x^24+4096x^25+768x^26+831x^28+245x^32+55x^36+6x^40+1x^44

The gray image is a code over GF(2) with n=100, k=13 and d=32.
This code was found by Heurico 1.16 in 30.3 seconds.