The generator matrix

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

generates a code of length 22 over Z8 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+66x^10+186x^12+309x^14+583x^16+984x^18+3320x^20+21863x^22+3327x^24+970x^26+610x^28+323x^30+152x^32+60x^34+12x^36+1x^38+1x^40

The gray image is a code over GF(2) with n=88, k=15 and d=20.
This code was found by Heurico 1.16 in 11 seconds.