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 X 1 1 1 1 X 1 1 X 1 1 X X 1 1 X X 1 1 2 X 0 X X 1 2 0 X X 1 X 2 2 0 X 2 X 1 2 0 2 X X 2 X 1 X X
0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 2 0 2 2 0 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0 2 2 2 0 2 0 0 2 2 2 0 0 0 2 2 0 0 2 0 0 2 2 0
generates a code of length 70 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74.
Homogenous weight enumerator: w(x)=1x^0+12x^74+1x^76+2x^78
The gray image is a code over GF(2) with n=280, k=4 and d=148.
This code was found by Heurico 1.16 in 0.15 seconds.