The generator matrix

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

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+44x^59+144x^60+78x^61+86x^62+30x^63+67x^64+16x^65+6x^66+4x^67+8x^68+2x^69+2x^70+18x^71+4x^72+2x^74

The gray image is a code over GF(2) with n=248, k=9 and d=118.
This code was found by Heurico 1.13 in 0.063 seconds.