The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+118x^22+192x^23+540x^24+848x^25+792x^26+816x^27+458x^28+176x^29+102x^30+16x^31+23x^32+12x^34+2x^36

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.