The generator matrix

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

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+100x^54+180x^55+243x^56+300x^57+355x^58+378x^59+377x^60+382x^61+372x^62+364x^63+265x^64+290x^65+179x^66+92x^67+91x^68+34x^69+34x^70+8x^71+10x^72+18x^73+13x^74+2x^75+4x^76+2x^78+1x^80+1x^82

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 0.851 seconds.