The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1
 0  X  0 X+2  0 X+2  2 X+2  0 X+2  0 X+2  0 X+2  2  X  2  X  X  0  0  2 X+2 X+2  2  0  0  2  2 X+2
 0  0  2  0  0  0  2  0  0  0  2  2  0  2  2  2  0  2  0  0  2  2  0  0  0  0  2  2  0  2
 0  0  0  2  0  0  0  2  0  0  2  2  2  2  0  0  0  0  2  2  2  0  0  2  0  2  2  2  2  2
 0  0  0  0  2  0  2  0  0  2  0  2  2  0  2  2  2  0  2  2  0  0  2  2  0  0  2  2  0  0
 0  0  0  0  0  2  0  2  2  2  0  0  2  2  2  2  2  0  0  0  2  2  0  2  0  2  0  2  0  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+19x^26+32x^27+36x^28+192x^29+32x^30+128x^31+15x^32+12x^34+32x^35+12x^36+1x^58

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 0.018 seconds.