The generator matrix

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

generates a code of length 26 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+97x^18+8x^19+307x^20+88x^21+627x^22+328x^23+1206x^24+600x^25+1623x^26+600x^27+1286x^28+328x^29+638x^30+88x^31+255x^32+8x^33+79x^34+15x^36+7x^38+2x^40+1x^42

The gray image is a code over GF(2) with n=104, k=13 and d=36.
This code was found by Heurico 1.16 in 38.1 seconds.