The generator matrix

 1  0  0  1  1  1 X+2  1  1  0  X  1  1  X  1  0 X+2  1  1 X+2  X  1  1  X  X X+2  1  1  1  1  X  1  1  1  X  2  1  1  0  1  X  1  1  2  X X+2  1  2 X+2  1  2  1 X+2 X+2  1  1  1  0 X+2  1  2
 0  1  0  0  1 X+1  1 X+2  3  1  X  3 X+2  1  X  1  X X+1  1  1 X+2  X X+3  1  1  1  X  X X+1  0  1  0  1  3  0  2  1  1  1  0  1 X+3  1  X  1  1 X+3  1  1  2  1  X  1  2 X+2 X+2 X+1  1  2  X  0
 0  0  1  1  1  0  1  1  3  3  1  0  2  X X+2 X+2  1 X+3 X+2  3  1 X+3  X X+3  X  3  X  0 X+1  3  X X+1  3 X+3  1  1  0  X  2  3 X+1 X+3  X  1 X+1  2  0  1 X+1  3 X+1  0  X  1  2  1  0  X  1 X+2  1
 0  0  0  X  0  0  2  2 X+2  X  X  X  X X+2  2  0  0  X X+2  X  X  2  0  2  0  X X+2  2  2 X+2  X  2  0  X  2 X+2  0  2  0  0  0  X  2  0  2  0 X+2 X+2  X  2 X+2 X+2  2 X+2  X  0  2 X+2  X  2  2
 0  0  0  0  X  2  X X+2  2  2 X+2 X+2  X X+2  0  2 X+2  0  X  0  2  2 X+2  2 X+2 X+2  0  X  0 X+2  2  X  0  X  2 X+2 X+2  0  X  2  0  2  X  0  X  2  0  X  0  X  2  X  X  2 X+2  0  0 X+2 X+2 X+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+152x^54+402x^55+512x^56+594x^57+698x^58+762x^59+801x^60+744x^61+677x^62+668x^63+597x^64+516x^65+374x^66+256x^67+207x^68+106x^69+43x^70+34x^71+24x^72+6x^73+6x^74+6x^75+2x^76+2x^77+2x^78

The gray image is a code over GF(2) with n=244, k=13 and d=108.
This code was found by Heurico 1.16 in 5.38 seconds.