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  X  2  1  2  1  X  1  1  1  2  1  X  1  X  1  2  0  1  1  1  1  0  1  1  X
 0  X  0  0  0  X X+2  X  2  2  X  0  0  X  X X+2  0  0 X+2  X  2  X X+2  X  2  0  2  2 X+2  0  X X+2  X X+2 X+2  X  X  X  0  X  0 X+2  0 X+2 X+2  X  X  0  2  X  2  X  0  X X+2  2  X  X  X  X  0
 0  0  X  0  X  X  X  0  2  0 X+2  X X+2  0 X+2  0  2 X+2  2 X+2  0  2  X  0 X+2 X+2  X  2  X  2  0 X+2  X  X  0  2 X+2  X X+2  2 X+2  2 X+2  X X+2 X+2 X+2 X+2  0  2 X+2  X  X  X X+2  0  2 X+2  0 X+2  X
 0  0  0  X  X  0  X X+2  0  X  2  X  2 X+2  X  0  2  X  X  0 X+2  2 X+2 X+2  0  0 X+2  X  X  0  0  0  0  0  2  2  2  2 X+2  X  2  2 X+2  2  X  2  X  2  X  X  0  2  2  2  0 X+2  X  X  X  2 X+2
 0  0  0  0  2  0  0  0  2  2  2  2  0  2  0  2  2  0  0  0  2  0  2  2  2  2  0  0  2  0  2  2  2  2  2  2  2  2  2  2  2  2  2  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  0  0
 0  0  0  0  0  2  0  2  0  0  0  2  2  0  2  0  2  2  0  0  2  2  2  2  0  2  0  2  0  2  2  2  0  2  0  2  2  0  0  0  2  0  2  0  0  2  0  2  0  0  2  0  0  2  2  0  2  0  0  0  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+103x^54+8x^55+157x^56+84x^57+173x^58+268x^59+128x^60+328x^61+126x^62+224x^63+85x^64+100x^65+110x^66+12x^67+55x^68+55x^70+21x^72+5x^74+4x^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 0.397 seconds.