The generator matrix

 1  0  0  0  1  1  1  1  1  1  1  1 a^2*X  1  1 a^2*X  1  X  1  1  1  1  1  1 a^2*X  1  0  1 a^2*X a*X  1  1  1  1  1  1  1  1  1  1 a*X  1  1 a*X  1  1  1 a^2*X  1  1 a*X  1  1  1  1  1  1  X a*X  1  1  1  1  0  1  1  1  1  1  1
 0  1  0  0 a^2*X  0 a^2*X  1 a^2*X+a a^2  X  0  X a^2*X+a^2  X  1 X+a  1  a a*X+a X+1  a X+1 a*X+a^2  1 a^2  1 X+a^2  1  1  0 a^2*X+1 a*X+1 a*X+a^2 a*X+a^2  1  X a*X+a^2  1 a^2*X+a  1 X+a a^2*X+a^2  1 a^2*X a*X+a  1 a*X a*X+a a^2*X+a^2  1 a*X+1 a^2 a^2*X+a^2 X+a a*X+1 X+a^2  1  1 a*X+a^2  X  a a^2*X+a a*X a^2*X+a^2 a^2*X+1 a*X+1  X a*X+a^2  X
 0  0  1  0  X a^2*X  0 a*X a*X a*X a^2*X+1 a^2*X+1  1 X+a^2 a*X+a^2 a^2 a*X+1  1 X+a X+1 X+1 a*X+a a^2*X+a^2 a*X+1 a*X a*X+1 a^2*X+1 X+1 X+a a^2*X+a^2  a  0 a^2*X+1 a^2*X+a a*X a*X+a a^2*X+a X+1 a^2 a^2*X+1 a^2*X+a  0  a  a a^2 a^2*X+1 a*X+a^2  1 a^2  X a^2*X a^2*X+a^2 a^2*X+a^2 a^2*X+a^2  a a*X a*X+a^2 a^2*X+a  0  X a^2 X+1 X+1  1 X+1 a^2*X+a^2  X  0  0 a^2*X+1
 0  0  0  1 a^2*X+1 a^2*X+a a^2 X+a^2 a^2*X+a^2 a*X+a^2 a^2  X a^2  a X+1 X+1 a*X+1 X+a a^2*X+1  0 a*X+a^2 a*X a*X X+a a*X+a^2 a^2  X a^2*X+1 a^2*X+a X+a^2 a^2*X+1 a*X+1 a^2*X X+1 a^2*X+a a^2*X  a a^2*X  a a*X+a^2 a^2*X  X  X a*X+1 a^2*X+a^2 X+a a*X+a^2 a*X+a a^2*X+1 X+1 X+a a^2*X+1  1 a^2*X a*X+a X+1 a^2*X+a^2  a  1 a*X+1 a^2*X a^2 a*X+1  1 X+a^2 a*X+a X+a  X  1 a*X+1

generates a code of length 70 over F4[X]/(X^2) who´s minimum homogenous weight is 195.

Homogenous weight enumerator: w(x)=1x^0+1332x^195+798x^196+4512x^199+1620x^200+7428x^203+2700x^204+8376x^207+2718x^208+10056x^211+3540x^212+8628x^215+2700x^216+5844x^219+1692x^220+2448x^223+513x^224+492x^227+102x^228+36x^231

The gray image is a linear code over GF(4) with n=280, k=8 and d=195.
This code was found by Heurico 1.16 in 674 seconds.