The generator matrix

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

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+108x^20+602x^21+1955x^22+3548x^23+6490x^24+7156x^25+6844x^26+3640x^27+1684x^28+514x^29+183x^30+28x^31+13x^32+2x^34

The gray image is a code over GF(2) with n=200, k=15 and d=80.
This code was found by Heurico 1.16 in 3.2 seconds.