The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  0  1  1  X  1  1  0  1  1  X  1  1  1  1  0 X+2  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  2  X  2 X+2  X  0  2  1  1
 0  1 X+1 X+2  1  1 X+1  0  1 X+2  3  1  0 X+1  1 X+2  3  1  0 X+1  1 X+2  1  1  0 X+2 X+1  3  1  1  X  2  0  2 X+2 X+2 X+3  3 X+1  1 X+3  X  1  X  2  2  X  2  0 X+2  X  X  X  1  1  X  1  1  1  1  0  2
 0  0  2  0  0  0  0  2  2  2  2  2  0  0  0  2  2  2  2  2  2  0  0  0  0  0  0  0  2  2  0  2  0  2  2  2  2  2  2  2  0  2  0  2  0  2  2  0  2  0  0  2  2  0  0  0  0  2  2  0  2  0
 0  0  0  2  0  2  2  2  2  0  2  0  0  0  2  0  0  2  2  2  0  2  2  0  2  0  0  0  2  2  0  0  2  0  2  2  0  0  2  2  2  2  2  0  2  2  2  0  0  0  2  0  2  2  0  2  2  0  0  0  0  2
 0  0  0  0  2  0  2  2  2  2  0  2  2  0  2  0  2  0  0  2  0  2  0  2  2  0  2  0  0  2  2  0  0  2  0  2  2  0  0  2  0  2  2  2  2  2  0  0  0  2  0  0  2  0  0  2  2  0  2  2  2  0

generates a code of length 62 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+64x^59+78x^60+128x^61+96x^62+77x^64+64x^67+2x^68+2x^88

The gray image is a code over GF(2) with n=248, k=9 and d=118.
This code was found by Heurico 1.16 in 50.9 seconds.