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

generates a code of length 61 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+121x^54+24x^55+126x^56+68x^57+201x^58+224x^59+104x^60+380x^61+125x^62+248x^63+91x^64+60x^65+108x^66+16x^67+47x^68+4x^69+81x^70+14x^72+3x^74+1x^78+1x^100

The gray image is a code over GF(2) with n=244, k=11 and d=108.
This code was found by Heurico 1.16 in 0.447 seconds.