The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  X X+2  1  X  2  1  1  1  1  2 X+2  0  2  2  0  1  1  1  1  X X+2  0  1  1 X+2  0  0  1  1  0  0  2  1  1  1 X+2 X+2  1  0  1  1  1  X  1  1  1 X+2  1  0  1
 0  1  0  0  X  2 X+2  1  3  1  3  1  1 X+1  0 X+2 X+1 X+2 X+2 X+1  X  1  1  1  0  2  3  0  0 X+2  1  X  1  1  1  X  2  1 X+3  1  1  1  1 X+1 X+3  X  0  2  2  1 X+1  2  X  1  0  2  X X+2 X+3 X+2  2
 0  0  1  0  X  3  1  3  2  1 X+1 X+1  X  2  1  1  X  0 X+3  3  2 X+1  1  X  1  1 X+3 X+1  X  3  1  1  2 X+3  0 X+2  1 X+2  2  X  0  2  1  0 X+1  3  1  1  1 X+2  1  0 X+2  2  0 X+2 X+1  1 X+2  1  X
 0  0  0  1 X+1  1  X  3  3  2 X+3  X  1  2 X+3 X+1 X+2  3 X+1  3  1  0 X+3  2  X X+3  0  3 X+1  X X+2 X+1  X  1 X+3  1  0  1  1  2 X+1 X+2 X+3 X+1 X+3  0  3  2  2 X+3  0  3  1  2  X  1  0 X+2 X+1  1  2
 0  0  0  0  2  0  2  0  0  0  2  2  2  2  2  0  0  0  2  0  2  0  2  2  2  0  2  0  0  0  0  2  2  2  2  2  2  0  0  0  2  0  0  0  0  0  2  0  2  2  0  2  0  0  0  0  0  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+145x^54+396x^55+567x^56+576x^57+711x^58+796x^59+715x^60+748x^61+666x^62+628x^63+604x^64+504x^65+406x^66+308x^67+177x^68+124x^69+77x^70+16x^71+16x^72+11x^74

The gray image is a code over GF(2) with n=244, k=13 and d=108.
This code was found by Heurico 1.13 in 1.13 seconds.