The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+29x^20+48x^21+46x^22+194x^23+568x^24+290x^25+572x^26+188x^27+34x^28+44x^29+16x^30+2x^31+7x^32+2x^33+4x^34+1x^36+2x^38

The gray image is a code over GF(2) with n=200, k=11 and d=80.
This code was found by Heurico 1.16 in 0.032 seconds.