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

generates a code of length 62 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+73x^54+160x^56+214x^58+360x^60+471x^62+352x^64+194x^66+132x^68+59x^70+12x^72+6x^74+4x^76+5x^78+2x^80+2x^82+1x^96

The gray image is a code over GF(2) with n=248, k=11 and d=108.
This code was found by Heurico 1.16 in 0.475 seconds.