The generator matrix

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

generates a code of length 61 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+53x^52+218x^53+449x^54+632x^55+813x^56+930x^57+1358x^58+1524x^59+1484x^60+1598x^61+1507x^62+1518x^63+1213x^64+1052x^65+780x^66+478x^67+365x^68+150x^69+115x^70+66x^71+29x^72+18x^73+14x^74+6x^75+10x^76+2x^77+1x^78

The gray image is a code over GF(2) with n=244, k=14 and d=104.
This code was found by Heurico 1.16 in 11.3 seconds.