The generator matrix

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

generates a code of length 62 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+192x^58+252x^60+280x^62+86x^64+150x^66+39x^68+6x^70+2x^74+4x^76+10x^78+1x^80+1x^84

The gray image is a code over GF(2) with n=248, k=10 and d=116.
This code was found by Heurico 1.16 in 0.229 seconds.