The generator matrix

 1  0  1  1  1  X  1  1  1  1 X+2 X+2  0  2  0  2  X  1  2  1  1
 0  1  1  2 X+1  1  X X+3 X+2  3  1  1  1  X  0  1  1  2  1  X X+1
 0  0  X X+2  2 X+2  X X+2  2  0 X+2  0  2 X+2  X  2  X  X X+2 X+2  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+72x^19+37x^20+72x^21+14x^22+28x^23+9x^24+16x^25+2x^26+4x^27+1x^28

The gray image is a code over GF(2) with n=84, k=8 and d=38.
This code was found by Heurico 1.16 in 0.00518 seconds.