The generator matrix

 1  0  0  1  1  1  0  1  2  1  X  1  1 X+2  1  2  0  1 X+2  1  1  1 X+2  1  1  1  1  1  1  1
 0  1  0  0  1  3  1  X  1 X+1  1  X  1  0  1 X+2  1  1  1  2 X+2  3  1  X  1 X+2 X+1  2 X+2 X+2
 0  0  1 X+1 X+3  0 X+1  1  X  2  1  X  3  1  X  1 X+3 X+3 X+2  3  2 X+2  3  2 X+1  X X+2  3  1  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  0  2  0  0  0  2
 0  0  0  0  2  2  2  0  2  0  0  2  0  2  0  0  0  2  0  2  0  2  2  2  0  2  0  0  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+161x^26+180x^27+385x^28+252x^29+277x^30+168x^31+264x^32+120x^33+131x^34+36x^35+51x^36+12x^37+7x^38+3x^40

The gray image is a code over GF(2) with n=120, k=11 and d=52.
This code was found by Heurico 1.16 in 0.144 seconds.