The generator matrix

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

generates a code of length 70 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+198x^65+130x^66+308x^67+86x^68+432x^69+153x^70+216x^71+21x^72+160x^73+73x^74+68x^75+18x^76+80x^77+18x^78+48x^79+1x^80+18x^81+4x^82+8x^85+5x^86+1x^88+1x^90

The gray image is a code over GF(2) with n=280, k=11 and d=130.
This code was found by Heurico 1.16 in 1.6 seconds.