The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  1  1  1  1  X  X  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0 X+2  0 X+2 X+1  3  0 X+2  2
 0  0  2  0  0  0  0  2  0  2  2  2  0  0  2  2  0  2  0  0  2
 0  0  0  2  0  0  2  2  0  2  0  2  0  2  2  0  0  0  2  0  0
 0  0  0  0  2  0  2  0  2  2  2  2  0  2  0  2  0  0  0  0  0
 0  0  0  0  0  2  0  2  2  2  0  2  2  2  0  0  2  0  0  0  0

generates a code of length 21 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+23x^16+50x^17+44x^18+174x^19+64x^20+324x^21+58x^22+172x^23+36x^24+42x^25+24x^26+6x^27+4x^28+2x^30

The gray image is a code over GF(2) with n=84, k=10 and d=32.
This code was found by Heurico 1.16 in 0.0138 seconds.