The generator matrix

 1  0  0  0  1  1  1  X X+2  1  1  1 X+2  0  1  0  2  1  1  0  2  1  1  X  1  1 X+2  0  1  1  0  1  1  1  1  2 X+2  2  X  1  X X+2  1  1  1  X  1  2  1  1  1  1  1 X+2  1  1  1  1 X+2 X+2  0
 0  1  0  0  X  0 X+2 X+2  1  3  3  3  1  1 X+1 X+2  1 X+3  2  1  1  0 X+1  1 X+3  0  X  1  2 X+1  X  1  0 X+1  3  0  1  1  0  3 X+2  1  0  1 X+2  2 X+2  1  3  1  2  0  1  X X+2 X+3  2 X+1  1  1  1
 0  0  1  0  X  1 X+3  1  3 X+2  3  2  0 X+3  1  1  0  0  X  1  X  X X+3 X+3  1 X+3 X+2  0  2  0  1 X+1  0  2  0  1  3  1  1  2  2  1 X+1 X+2  3  X  0  3  3  X  1  1  1  2  X X+2 X+3  2 X+3  1 X+2
 0  0  0  1 X+1  1  X X+3  0  2  0 X+3 X+3 X+1  3  0 X+2 X+2 X+2  0  1 X+3 X+1  3  2  1  1  1 X+1 X+3  1 X+1 X+2  2  3  2  3  0 X+2  1  1  2  0 X+3  3  1 X+2 X+1  3  1  1  X X+1  1  X  0 X+3  1  2  3  X
 0  0  0  0  2  0  2  2  2  2  0  0  2  0  2  0  0  2  0  2  2  2  2  0  0  0  0  2  0  2  0  0  2  0  0  2  2  0  2  2  0  0  2  0  2  2  0  2  2  0  0  0  0  2  2  0  0  0  2  2  2
 0  0  0  0  0  2  2  2  2  0  2  0  0  2  2  2  2  2  2  0  2  2  0  0  0  0  2  0  2  2  0  0  0  2  2  2  0  0  2  0  2  2  0  2  2  2  2  2  0  0  0  0  2  0  2  0  0  0  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+136x^53+495x^54+752x^55+860x^56+1088x^57+1391x^58+1272x^59+1460x^60+1632x^61+1308x^62+1496x^63+1361x^64+1052x^65+783x^66+516x^67+378x^68+176x^69+112x^70+48x^71+34x^72+12x^73+6x^74+12x^75+2x^76+1x^78

The gray image is a code over GF(2) with n=244, k=14 and d=106.
This code was found by Heurico 1.16 in 10.2 seconds.