The generator matrix

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

generates a code of length 30 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+155x^24+1050x^25+3580x^26+8272x^27+14401x^28+24378x^29+26416x^30+25496x^31+15198x^32+7886x^33+2868x^34+912x^35+323x^36+94x^37+32x^38+8x^39+2x^40

The gray image is a code over GF(2) with n=240, k=17 and d=96.
This code was found by Heurico 1.16 in 52 seconds.