The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  6  1  1  0  6  1  1  0  1  1  1  6  1  2  4
 0  1  3  6  1  1  0  3  1  6  5  1  0  3  1  1  6  5  1  0  6  3  1  7  0  0
 0  0  4  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  0  0  0  4  4  4  0
 0  0  0  4  0  0  0  0  0  0  4  4  4  4  4  4  4  4  0  4  4  4  4  0  4  0
 0  0  0  0  4  0  0  0  0  4  4  4  0  4  4  4  0  0  4  0  0  4  0  0  4  0
 0  0  0  0  0  4  0  0  4  4  0  4  0  0  4  0  4  4  4  4  0  4  0  4  4  0
 0  0  0  0  0  0  4  0  4  0  0  4  4  0  0  4  4  0  4  0  0  4  4  4  4  4
 0  0  0  0  0  0  0  4  4  4  4  0  0  0  0  4  4  4  4  0  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+114x^20+32x^21+296x^22+160x^23+733x^24+320x^25+824x^26+320x^27+696x^28+160x^29+280x^30+32x^31+105x^32+8x^34+14x^36+1x^40

The gray image is a code over GF(2) with n=104, k=12 and d=40.
This code was found by Heurico 1.16 in 0.408 seconds.