The generator matrix

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

generates a code of length 20 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+50x^16+64x^17+136x^18+192x^19+157x^20+192x^21+112x^22+64x^23+41x^24+8x^26+7x^28

The gray image is a code over GF(2) with n=80, k=10 and d=32.
This code was found by Heurico 1.16 in 0.0115 seconds.