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

generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+47x^70+24x^71+81x^72+16x^73+14x^74+20x^75+14x^76+35x^78+2x^79+2x^103

The gray image is a code over GF(2) with n=292, k=8 and d=140.
This code was found by Heurico 1.16 in 0.244 seconds.