The generator matrix

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

generates a code of length 22 over Z8 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+27x^12+20x^13+121x^14+236x^15+448x^16+1496x^17+2218x^18+5288x^19+6157x^20+11392x^21+10687x^22+11392x^23+6220x^24+5288x^25+2220x^26+1496x^27+437x^28+236x^29+103x^30+20x^31+19x^32+10x^34+3x^36+1x^38

The gray image is a code over GF(2) with n=88, k=16 and d=24.
This code was found by Heurico 1.16 in 11 seconds.