The generator matrix

1 1 1 1 1 1 1 1 1 1 1 2 X 1 X X X X 0 0 X
0 0 X X 0 0 X X 2 2 2 2 0 2 X+2 X X X+2 X X 0
0 X 2 X 2 X+2 0 X+2 2 X X+2 X X 0 2 0 X 0 2 X+2 0

generates a code of length 21 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+93x^20+31x^24+3x^28

The gray image is a code over GF(2) with n=84, k=7 and d=40.
This code was found by an older version of Heurico in 0 seconds.