The generator matrix

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

generates a code of length 26 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+92x^21+788x^22+1780x^23+3870x^24+5730x^25+8215x^26+5864x^27+3928x^28+1600x^29+680x^30+148x^31+49x^32+18x^33+3x^34+2x^38

The gray image is a code over GF(2) with n=208, k=15 and d=84.
This code was found by Heurico 1.16 in 3.16 seconds.