The generator matrix

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

generates a code of length 26 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+30x^22+272x^23+573x^24+786x^25+920x^26+732x^27+418x^28+224x^29+94x^30+20x^31+8x^32+14x^33+4x^34

The gray image is a code over GF(2) with n=208, k=12 and d=88.
This code was found by Heurico 1.16 in 0.078 seconds.