The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+95x^22+48x^23+193x^24+80x^25+213x^26+80x^27+174x^28+48x^29+73x^30+9x^32+3x^34+6x^36+1x^40

The gray image is a code over GF(2) with n=104, k=10 and d=44.
This code was found by Heurico 1.16 in 0.0232 seconds.