The generator matrix

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

generates a code of length 60 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+86x^51+264x^52+346x^53+646x^54+646x^55+1133x^56+1112x^57+1686x^58+1376x^59+1866x^60+1436x^61+1628x^62+1150x^63+1114x^64+614x^65+576x^66+288x^67+200x^68+64x^69+58x^70+36x^71+23x^72+10x^73+10x^74+2x^75+6x^76+2x^77+4x^78+1x^80

The gray image is a code over GF(2) with n=240, k=14 and d=102.
This code was found by Heurico 1.16 in 38.8 seconds.