The generator matrix

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

generates a code of length 25 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+114x^19+477x^20+792x^21+1323x^22+1902x^23+2243x^24+2572x^25+2403x^26+1938x^27+1309x^28+752x^29+393x^30+106x^31+32x^32+12x^33+9x^34+4x^35+2x^36

The gray image is a code over GF(2) with n=100, k=14 and d=38.
This code was found by Heurico 1.13 in 1.21 seconds.