The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1 X+2  1  X  1  1  1  1  X  1  1  1  0
 0  1  1  0 X+3  1  X X+1  1 X+2  1  3 X+3  2  1  3  1  1 X+2  0 X+1  2  X  X  X  X
 0  0  X  0 X+2  0  0  X  2  0  2  X  0  X  X  2 X+2  2  X X+2  0  0 X+2  0 X+2  X
 0  0  0  X  0  0  X  X X+2  2  X  X  X  2 X+2  2  0  X X+2 X+2  0  X  0  2 X+2 X+2
 0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  0  0  2  2  0  2  2  2  0  0  0
 0  0  0  0  0  2  0  0  0  2  0  2  0  0  0  2  2  2  2  0  2  0  2  0  2  0
 0  0  0  0  0  0  2  0  0  0  2  0  0  2  2  2  2  0  0  2  0  2  2  2  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+189x^20+112x^21+508x^22+504x^23+1143x^24+904x^25+1460x^26+944x^27+1136x^28+512x^29+500x^30+88x^31+143x^32+8x^33+28x^34+11x^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 5.44 seconds.