The generator matrix

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

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+40x^69+247x^70+32x^71+79x^72+88x^73+178x^74+16x^75+30x^76+40x^77+184x^78+16x^79+15x^80+24x^81+30x^82+2x^84+1x^86+1x^136

The gray image is a code over GF(2) with n=296, k=10 and d=138.
This code was found by Heurico 1.16 in 42 seconds.