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  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  1  1  1  1  1  X  X  1  1  1
 0  X  0  X  0  0 X+2 X+2  0  0  X X+2  0  0 X+2  X  0  X  0  X  0 X+2  0 X+2  0  2 X+2 X+2  2  X  2  X  2  2  2  X X+2  2  X  0  X  2  X  2 X+2  2  2 X+2 X+2  2 X+2  2  X  0 X+2  2 X+2  2  2  X  X  2  0 X+2  X  0  2  X X+2  2  X  0  X  0
 0  0  X  X  0 X+2 X+2  0  0 X+2  X  0  0  X X+2  0  2 X+2 X+2  2  2  X  X  2  2  X  2 X+2 X+2  2  2  X  2  0  X  X  0  0  2  X X+2  0 X+2  X  2  0  X  0 X+2  2  X X+2  2  2  X X+2  2  2 X+2 X+2  0  0 X+2  X  0  0  X  X  0  X  X  0  2  0
 0  0  0  2  0  0  2  0  2  2  0  2  2  2  0  2  2  2  0  0  2  2  0  0  0  2  2  0  2  2  0  0  0  0  2  2  0  2  0  2  0  2  0  0  2  0  0  2  2  2  2  2  2  0  0  0  0  2  0  2  0  0  2  0  2  0  0  0  0  0  2  2  2  0
 0  0  0  0  2  2  2  2  2  2  0  2  0  0  2  0  0  0  0  0  2  2  2  2  2  2  0  0  0  2  0  2  2  2  0  2  0  0  2  2  2  2  0  0  2  0  2  0  0  0  0  2  0  0  0  2  0  2  0  2  2  2  0  2  2  0  0  0  2  2  2  0  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+20x^71+40x^72+112x^73+128x^74+104x^75+36x^76+16x^77+23x^78+4x^79+3x^80+1x^142

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 0.274 seconds.