The generator matrix

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

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+144x^54+60x^55+371x^56+144x^57+538x^58+204x^59+562x^60+208x^61+509x^62+212x^63+455x^64+144x^65+293x^66+36x^67+119x^68+16x^69+32x^70+21x^72+14x^74+6x^76+3x^78+3x^82+1x^84

The gray image is a code over GF(2) with n=244, k=12 and d=108.
This code was found by Heurico 1.16 in 0.933 seconds.