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.