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  0  1  2  1  X  1  1  1  1  X  0  1  1  0  1  1  X  1  1  X  X  1  1  X  X  X  1  2  0  X  1  X  1  0  0  X  1  1
 0  X  0  0  0  X X+2  X  0  2  2  0  X X+2  X X+2 X+2 X+2 X+2  2  0  0 X+2  2  0  2  X  X X+2 X+2  2 X+2  X  X  X  2  2  2  0  2  0 X+2  0  2  2  0  2  X X+2  2  2  X  0  X  X  X  X  X X+2  X  X X+2  X  X X+2  X  0  0  0  X
 0  0  X  0  X  X X+2  0  0  0 X+2 X+2  X  X  2  0  X  2  0 X+2 X+2  2 X+2  2 X+2  0  2  2 X+2  0 X+2  0 X+2 X+2  0  2  X  2 X+2  2  0  X  0  0  X  X  0 X+2  0 X+2  2  0  X  X  X  X X+2  2  2  X  2  2  X  2  0  X  2 X+2  2  X
 0  0  0  X  X  0 X+2  X  2 X+2  X  2  2  X  X  2  0 X+2  0  X  2  X  X  0  2  X  0 X+2  X X+2  X X+2  X  2 X+2  0  2 X+2  X  2  X  X  X  2 X+2  0 X+2  0  0  0  0  X X+2 X+2  X  2  X  X  2  X  2  2  X  0 X+2  0  X  2  X  0
 0  0  0  0  2  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  0  2  2  0  2  0  2  2  0  0  0  2  2  2  2  2  0  2  2  2  2  2  0  0  2  2  2  2  2  2  0  2  0  0  2  0  0  0  2  2  0  2  2  2  0  0  2  0  0  0
 0  0  0  0  0  2  0  2  0  0  2  2  0  2  2  0  0  0  2  2  2  0  0  2  2  2  0  0  0  0  0  2  0  2  0  2  2  2  0  2  2  2  2  0  2  0  0  0  0  0  2  0  2  2  0  0  2  0  2  0  0  0  2  2  0  2  0  0  2  2
 0  0  0  0  0  0  2  2  2  2  0  0  2  0  0  0  0  0  2  0  2  0  2  2  2  2  2  2  0  0  0  0  0  2  0  2  2  0  2  0  2  0  2  2  2  0  2  2  0  0  0  2  0  2  0  2  2  2  0  2  0  0  2  0  2  0  0  0  0  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+46x^61+89x^62+140x^63+190x^64+248x^65+238x^66+248x^67+393x^68+352x^69+371x^70+394x^71+259x^72+272x^73+242x^74+166x^75+130x^76+66x^77+55x^78+58x^79+41x^80+32x^81+24x^82+18x^83+5x^84+8x^85+4x^86+5x^88+1x^102

The gray image is a code over GF(2) with n=280, k=12 and d=122.
This code was found by Heurico 1.16 in 1.53 seconds.