The generator matrix

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

generates a code of length 21 over Z4 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+48x^13+126x^14+240x^15+337x^16+428x^17+606x^18+790x^19+976x^20+1034x^21+958x^22+846x^23+682x^24+490x^25+274x^26+162x^27+112x^28+46x^29+20x^30+10x^31+4x^32+2x^33

The gray image is a code over GF(2) with n=42, k=13 and d=13.
This code was found by Heurico 1.10 in 0.563 seconds.