The generator matrix

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

generates a code of length 20 over Z8 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+61x^8+126x^10+274x^12+597x^14+973x^16+1364x^18+4096x^19+17820x^20+4096x^21+1287x^22+1019x^24+574x^26+306x^28+131x^30+26x^32+16x^34+1x^38

The gray image is a code over GF(2) with n=80, k=15 and d=16.
This code was found by Heurico 1.16 in 2.53 seconds.