The generator matrix

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

generates a code of length 23 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+18x^21+40x^22+30x^23+7x^24+14x^25+15x^26+2x^27+1x^34

The gray image is a code over GF(2) with n=92, k=7 and d=42.
This code was found by Heurico 1.16 in 0.00292 seconds.