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

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+62x^49+154x^50+230x^51+297x^52+366x^53+435x^54+562x^55+750x^56+986x^57+1517x^58+1946x^59+1953x^60+1774x^61+1435x^62+1148x^63+794x^64+488x^65+433x^66+318x^67+237x^68+196x^69+110x^70+74x^71+59x^72+32x^73+12x^74+10x^75+4x^76+1x^100

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 18.2 seconds.