The generator matrix

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

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+30x^25+65x^26+142x^27+67x^28+404x^29+643x^30+404x^31+54x^32+142x^33+55x^34+30x^35+4x^36+5x^38+1x^40+1x^52

The gray image is a code over GF(2) with n=240, k=11 and d=100.
This code was found by Heurico 1.16 in 0.062 seconds.