The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+158x^25+944x^26+2096x^27+4066x^28+5610x^29+7021x^30+5764x^31+4091x^32+1858x^33+838x^34+232x^35+56x^36+22x^37+5x^38+4x^39+2x^44

The gray image is a code over GF(2) with n=240, k=15 and d=100.
This code was found by Heurico 1.16 in 4.06 seconds.