The generator matrix

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

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+166x^25+997x^26+2192x^27+3475x^28+6244x^29+6622x^30+6270x^31+3663x^32+2040x^33+761x^34+220x^35+91x^36+12x^37+4x^38+6x^39+2x^40+2x^41

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 3.91 seconds.