The generator matrix

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

generates a code of length 30 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+36x^29+68x^30+8x^31+7x^32+4x^34+4x^37

The gray image is a code over GF(2) with n=240, k=7 and d=116.
This code was found by Heurico 1.16 in 0.016 seconds.