The generator matrix
1 0 0 1 1 1 2 1 1 0 1 1 2 1 1 1 1 2 1 1
0 1 0 2 1 3 1 0 1 1 2 3 1 2 0 2 0 0 3 1
0 0 1 1 3 2 1 2 1 2 3 0 3 2 3 0 1 0 3 3
generates a code of length 20 over Z4 who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+10x^18+20x^19+13x^20+8x^21+2x^22+4x^23+1x^24+4x^26+1x^28
The gray image is a code over GF(2) with n=40, k=6 and d=18.
This code was found by Heurico 1.16 in 0.00078 seconds.