The generator matrix

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

generates a code of length 22 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+106x^20+64x^22+70x^24+14x^28+1x^32

The gray image is a code over GF(2) with n=88, k=8 and d=40.
This code was found by Heurico 1.16 in 1.15 seconds.