The generator matrix

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

generates a code of length 22 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+236x^14+1101x^16+2978x^18+7165x^20+9696x^22+7246x^24+3244x^26+818x^28+228x^30+52x^32+2x^34+1x^36

The gray image is a code over GF(2) with n=88, k=15 and d=28.
This code was found by Heurico 1.16 in 10.2 seconds.