The generator matrix

1 0 0 0 0 0 0 1 1 2 1 0 0 1 1 2 0 1 1 1
0 1 0 0 0 0 0 0 1 0 1 1 2 0 1 2 1 2 0 0
0 0 1 0 0 0 0 1 0 0 1 2 1 2 3 0 3 2 0 0
0 0 0 1 0 0 0 1 1 2 0 2 1 0 3 1 0 0 1 0
0 0 0 0 1 0 0 1 2 1 3 3 0 1 1 3 2 0 3 0
0 0 0 0 0 1 0 1 3 3 2 1 1 3 2 2 1 2 3 1
0 0 0 0 0 0 1 2 1 3 3 0 3 2 0 3 2 1 3 0

generates a code of length 20 over Z4 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+24x^11+95x^12+226x^13+411x^14+628x^15+873x^16+1228x^17+1597x^18+1924x^19+2134x^20+2016x^21+1734x^22+1340x^23+918x^24+596x^25+338x^26+180x^27+75x^28+30x^29+15x^30+1x^34

The gray image is a code over GF(2) with n=40, k=14 and d=11.
This code was found by Heurico 1.10 in 1.53 seconds.