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

generates a code of length 60 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+90x^49+149x^50+218x^51+351x^52+344x^53+506x^54+646x^55+918x^56+1182x^57+1352x^58+1660x^59+1627x^60+1588x^61+1409x^62+1206x^63+898x^64+600x^65+553x^66+372x^67+249x^68+138x^69+112x^70+108x^71+37x^72+24x^73+10x^74+14x^75+13x^76+2x^77+5x^78+1x^80+1x^88

The gray image is a code over GF(2) with n=240, k=14 and d=98.
This code was found by Heurico 1.16 in 20 seconds.