The generator matrix

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

generates a code of length 30 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+76x^25+432x^26+1216x^27+2156x^28+2668x^29+3318x^30+2826x^31+2101x^32+974x^33+404x^34+148x^35+24x^36+24x^37+6x^38+2x^39+6x^40+2x^41

The gray image is a code over GF(2) with n=240, k=14 and d=100.
This code was found by Heurico 1.16 in 1 seconds.