The generator matrix

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

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+35x^26+46x^27+80x^28+44x^29+98x^30+72x^31+71x^32+20x^33+25x^34+10x^35+6x^36+1x^40+2x^42+1x^48

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 0.0125 seconds.