The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+124x^22+32x^23+269x^24+192x^25+288x^26+32x^27+48x^28+28x^30+1x^32+8x^34+1x^40

The gray image is a code over GF(2) with n=200, k=10 and d=88.
This code was found by Heurico 1.16 in 23.6 seconds.