The generator matrix

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

generates a code of length 26 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+188x^23+209x^24+492x^25+384x^26+432x^27+152x^28+112x^29+52x^31+21x^32+4x^33+1x^40

The gray image is a code over GF(2) with n=208, k=11 and d=92.
This code was found by Heurico 1.16 in 20.3 seconds.