The generator matrix

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

generates a code of length 61 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+58x^53+153x^54+16x^55+305x^56+192x^57+560x^58+112x^59+448x^60+260x^61+720x^62+112x^63+435x^64+208x^65+320x^66+16x^67+80x^68+50x^69+30x^70+6x^72+8x^78+4x^80+1x^86+1x^88

The gray image is a code over GF(2) with n=244, k=12 and d=106.
This code was found by Heurico 1.16 in 63 seconds.