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

generates a code of length 62 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+15x^60+64x^61+352x^62+64x^63+15x^64+1x^124

The gray image is a code over GF(2) with n=248, k=9 and d=120.
This code was found by Heurico 1.16 in 1.6 seconds.