The generator matrix

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

generates a code of length 21 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+26x^17+77x^18+212x^19+127x^20+188x^21+103x^22+180x^23+59x^24+22x^25+11x^26+8x^27+5x^28+4x^29+1x^30

The gray image is a code over GF(2) with n=84, k=10 and d=34.
This code was found by Heurico 1.16 in 0.0149 seconds.