The generator matrix
1 1 1 1 1 1 1 1 1 X 0 1 X 1 1 X 0 X 0 2 1
0 X 0 X+2 0 X+2 0 X+2 2 X+2 X 2 X+2 2 2 X+2 X X X X 0
0 0 2 0 0 2 2 2 2 0 0 0 2 2 0 2 0 0 2 2 0
0 0 0 2 2 2 2 0 0 0 2 2 2 2 0 0 0 2 2 0 0
generates a code of length 21 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 19.
Homogenous weight enumerator: w(x)=1x^0+40x^19+14x^20+16x^21+14x^22+40x^23+1x^24+1x^26+1x^34
The gray image is a code over GF(2) with n=84, k=7 and d=38.
This code was found by Heurico 1.16 in 0.137 seconds.