The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+30x^29+80x^30+15x^32+2x^45

The gray image is a code over GF(2) with n=120, k=7 and d=58.
This code was found by Heurico 1.16 in 2.43 seconds.