The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+106x^17+500x^18+1290x^19+2900x^20+5642x^21+9946x^22+15104x^23+19339x^24+21090x^25+19413x^26+15472x^27+10239x^28+5462x^29+2729x^30+1208x^31+408x^32+148x^33+51x^34+14x^35+9x^36+1x^38

The gray image is a code over GF(2) with n=100, k=17 and d=34.
This code was found by Heurico 1.13 in 53.5 seconds.