The generator matrix

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

generates a code of length 61 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+163x^50+452x^52+20x^53+754x^54+168x^55+999x^56+408x^57+1690x^58+888x^59+2133x^60+1136x^61+2151x^62+856x^63+1587x^64+456x^65+1058x^66+136x^67+658x^68+28x^69+382x^70+165x^72+64x^74+20x^76+9x^78+1x^82+1x^92

The gray image is a code over GF(2) with n=244, k=14 and d=100.
This code was found by Heurico 1.16 in 19 seconds.