The generator matrix

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

generates a code of length 70 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+120x^61+295x^62+522x^63+668x^64+856x^65+1106x^66+1200x^67+1233x^68+1406x^69+1638x^70+1460x^71+1314x^72+1192x^73+1015x^74+878x^75+602x^76+340x^77+181x^78+136x^79+81x^80+48x^81+42x^82+26x^83+5x^84+6x^85+6x^86+2x^87+5x^90

The gray image is a code over GF(2) with n=280, k=14 and d=122.
This code was found by Heurico 1.16 in 14.4 seconds.