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

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+24x^70+32x^71+68x^72+96x^73+80x^74+96x^75+48x^76+32x^77+24x^78+10x^80+1x^128

The gray image is a code over GF(2) with n=296, k=9 and d=140.
This code was found by Heurico 1.16 in 0.279 seconds.