The generator matrix

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

generates a code of length 26 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+223x^20+628x^22+1933x^24+2596x^26+2010x^28+604x^30+161x^32+12x^34+23x^36+1x^40

The gray image is a code over GF(2) with n=104, k=13 and d=40.
This code was found by Heurico 1.16 in 30 seconds.