The generator matrix

 1  0  1  1  1  6  1  1  4  2  1  1  4  2  1  1  1  2  1  1  1  1  0  1
 0  1  1  6  3  1  4  3  1  1  2  5  1  1  6  0  7  1  3  2  7  3  1  4
 0  0  2  0  6  0  2  4  2  6  2  4  2  6  0  0  2  0  4  6  2  4  0  2
 0  0  0  4  0  0  0  4  4  0  0  0  0  0  4  4  4  4  0  4  0  4  4  0
 0  0  0  0  4  0  0  0  0  4  4  0  0  4  4  4  4  0  4  0  0  4  0  4
 0  0  0  0  0  4  4  0  4  0  0  4  4  4  4  0  4  0  0  4  0  4  4  4

generates a code of length 24 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+222x^20+456x^22+720x^24+432x^26+192x^28+8x^30+15x^32+2x^36

The gray image is a code over GF(2) with n=96, k=11 and d=40.
This code was found by Heurico 1.16 in 58.5 seconds.