The generator matrix

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

generates a code of length 23 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+47x^14+4x^15+118x^16+144x^17+190x^18+400x^19+148x^20+1392x^21+469x^22+2264x^23+544x^24+1392x^25+244x^26+400x^27+168x^28+144x^29+57x^30+4x^31+41x^32+14x^34+4x^36+3x^38

The gray image is a code over GF(2) with n=92, k=13 and d=28.
This code was found by Heurico 1.16 in 0.636 seconds.