The generator matrix

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

generates a code of length 30 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+412x^25+1849x^26+4322x^27+7760x^28+11562x^29+13643x^30+11660x^31+8135x^32+4000x^33+1575x^34+490x^35+56x^36+58x^37+5x^38+8x^39

The gray image is a code over GF(2) with n=240, k=16 and d=100.
This code was found by Heurico 1.16 in 13.9 seconds.