The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^30+15x^32

The gray image is a code over GF(2) with n=240, k=6 and d=120.
This code was found by Heurico 1.16 in -6.48e-008 seconds.