The generator matrix

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

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+138x^65+227x^66+272x^67+217x^68+254x^69+150x^70+212x^71+99x^72+114x^73+87x^74+72x^75+62x^76+28x^77+34x^78+28x^79+10x^80+24x^81+5x^82+8x^83+3x^84+2x^85+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 1.11 in 0.237 seconds.