The generator matrix

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

generates a code of length 26 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+112x^21+699x^22+2044x^23+3245x^24+6828x^25+6889x^26+6866x^27+3431x^28+1874x^29+533x^30+176x^31+42x^32+16x^33+7x^34+2x^35+1x^36+2x^37

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 3.08 seconds.