The generator matrix

 1  0  1  1  1  2  X  1  1  1  1  0  1  1  1  X  0  1 X+2  1  X  1  1  1  0  1  1  1 X+2  1
 0  1  1 X+2 X+3  1  1  2  3  X X+1  1  3 X+1 X+3  1  1  3  1  3  1 X+1  3  2  1  1  1 X+1  1  0
 0  0  X  0 X+2  X X+2  X  2 X+2  0  0  2  2  X  X  X X+2  0  2  2 X+2  0 X+2  0  X  2  X  2  0
 0  0  0  2  0  2  0  0  2  2  0  2  2  0  2  2  0  0  2  0  0  0  2  2  0  2  0  0  0  2
 0  0  0  0  2  2  0  2  0  0  2  0  2  0  0  0  2  2  0  2  0  0  2  2  2  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+77x^26+112x^27+129x^28+144x^29+125x^30+144x^31+99x^32+112x^33+63x^34+7x^36+7x^38+3x^40+1x^48

The gray image is a code over GF(2) with n=120, k=10 and d=52.
This code was found by Heurico 1.16 in 0.0304 seconds.