The generator matrix

 1  0  0  1  1  1  2  0  0  2  1  1  1  1  X  1  0  1  1  1  2  1  0  2  1  1  1  0  0  0 X+2  X X+2  X X+2  X X+2  X  1  1  1  1 X+2  1  1  1  1  1  1  1  1  1  1  1  2  1  X  X  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  0
 0  1  0  0  1  1  1  X  1  1  X X+1  X X+1  1  1  2  1  X X+1  1  X  1  1  0  0 X+1  1  2 X+2  1  1  1  1  1  1  1  0  X X+1  2  X X+2 X+1  3  3 X+3  2  X  1 X+2  1  0  0  X X+1  2 X+2 X+2 X+3 X+2 X+3 X+3 X+2  X X+1 X+3  3  X X+2  0 X+2  2  0
 0  0  1  1  2  3  1  1  X X+1  2  1  3  0  0 X+3  1 X+2 X+2 X+1 X+1 X+3  2  3 X+1  X  X  X  1  1  1  X X+1  1  0 X+3 X+2  1  0 X+2 X+2  1  1 X+3 X+2  1  2  3 X+1 X+1 X+2  2  0 X+1  1  1  1  1 X+3 X+3  3 X+1 X+1 X+1  3 X+1  1 X+1  X  0  3 X+1  2  1
 0  0  0  2  0  2  2  2  2  0  2  0  0  2  0  2  2  0  2  0  2  0  2  0  2  0  2  0  0  2  0  0  0  2  2  2  2  0  0  0  2  2  0  2  2  0  0  0  2  0  0  2  2  0  0  2  2  2  0  0  2  2  0  0  2  2  0  0  2  0  0  2  0  2

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+111x^70+144x^71+251x^72+76x^73+89x^74+68x^75+45x^76+36x^77+45x^78+44x^79+50x^80+16x^81+37x^82+5x^86+4x^88+1x^92+1x^94

The gray image is a code over GF(2) with n=296, k=10 and d=140.
This code was found by Heurico 1.11 in 0.233 seconds.