The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+68x^20+144x^22+128x^23+234x^24+384x^25+168x^26+384x^27+196x^28+128x^29+128x^30+67x^32+8x^34+8x^36+2x^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 0.0747 seconds.