The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+9x^20+34x^21+45x^22+28x^23+6x^24+2x^25+2x^26+1x^42

The gray image is a code over GF(2) with n=88, k=7 and d=40.
This code was found by Heurico 1.16 in 0.00194 seconds.