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  2  0 2X+2  0 2X  2  2  0 2X 2X+2  2  0  0  2  2 2X 2X+2 2X+2 2X  0  0 2X+2 2X+2  0 2X
 0  0  2 2X+2  0 2X+2 2X+2 2X  0 2X+2 2X+2  0  0  2 2X+2 2X  0 2X  0  2 2X+2 2X 2X+2  2 2X 2X
 0  0  0 2X  0  0 2X  0 2X 2X  0 2X 2X 2X  0  0 2X 2X 2X 2X 2X 2X  0  0 2X  0
 0  0  0  0 2X 2X 2X 2X 2X 2X  0 2X  0  0 2X  0  0  0 2X  0  0  0 2X  0 2X  0

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

Homogenous weight enumerator: w(x)=1x^0+42x^22+65x^24+64x^25+705x^26+64x^27+38x^28+20x^30+23x^32+1x^34+1x^48

The gray image is a code over GF(2) with n=208, k=10 and d=88.
This code was found by Heurico 1.16 in 0.016 seconds.