The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  X  1  1
 0  X  0 X+2  2 3X+2 2X+2  X  0 X+2 2X 3X 2X+2 X+2 2X+2 X+2 2X  0 3X  2  X  0 3X+2 2X+2  2  X
 0  0 2X+2  0  2  2 2X  2 2X 2X  2 2X+2 2X+2 2X+2  0  0 2X+2 2X+2 2X 2X+2 2X  0  2  2  0 2X+2
 0  0  0 2X 2X  0 2X 2X  0 2X  0 2X 2X  0 2X  0 2X 2X 2X  0  0 2X 2X  0  0  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+64x^23+66x^24+96x^25+640x^26+32x^27+56x^28+32x^29+32x^31+4x^32+1x^48

The gray image is a code over GF(2) with n=208, k=10 and d=92.
This code was found by Heurico 1.16 in 0.109 seconds.