The generator matrix

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

generates a code of length 26 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+89x^20+136x^22+497x^24+624x^26+474x^28+136x^30+77x^32+13x^36+1x^40

The gray image is a code over GF(2) with n=104, k=11 and d=40.
This code was found by Heurico 1.16 in 0.117 seconds.