The generator matrix

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

generates a code of length 19 over Z8 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+28x^10+94x^12+234x^14+854x^16+512x^17+1840x^18+1024x^19+1876x^20+512x^21+892x^22+216x^24+68x^26+30x^28+10x^30+1x^32

The gray image is a code over GF(2) with n=76, k=13 and d=20.
This code was found by Heurico 1.16 in 0.251 seconds.