The generator matrix

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

generates a code of length 30 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+20x^26+42x^27+88x^28+36x^29+185x^30+16x^31+68x^32+20x^33+10x^34+6x^35+1x^36+8x^37+9x^38+1x^40+1x^52

The gray image is a code over GF(2) with n=120, k=9 and d=52.
This code was found by Heurico 1.16 in 0.017 seconds.