The generator matrix

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

generates a code of length 61 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+82x^55+104x^56+210x^57+174x^58+276x^59+153x^60+228x^61+103x^62+194x^63+119x^64+176x^65+64x^66+80x^67+26x^68+22x^69+6x^70+8x^71+8x^72+2x^73+2x^74+5x^76+2x^77+3x^78

The gray image is a code over GF(2) with n=244, k=11 and d=110.
This code was found by Heurico 1.16 in 0.317 seconds.