The generator matrix

 1  0  1  1  1  2  X  1  1  1 X+2  1  1  1  1  0  1  0  1  1  X  1  1  X  1  1  2  1  1  2  0 X+2  1  1  1  1  2 X+2  X  1  1  X X+2  0  1  1  0  1  1  1  1  X  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X X+2  0  1
 0  1  1 X+2 X+3  1  1 X+1  X  3  1 X+2 X+2  2 X+1  1 X+1  1  2  1  1  2  1  1  0 X+3  1 X+2  1  1  1  1  2  X X+1  3  1  1  1  2 X+1  X  1  X X+2  1  0  3 X+1  2 X+2  2  X  0  X  0  X  2  X  2  X  X  0  X X+2  X X+2  0  X  0  1  1  1  2
 0  0  X  0 X+2  X  X  2  X  2  0  0 X+2  X  2  0  X X+2  0 X+2  0 X+2  2 X+2  0  X  X  0  X X+2  0  2 X+2 X+2  0  2  0  2  X X+2  2 X+2 X+2  2  2  X  X  0  X  2 X+2  X  2 X+2 X+2  X  X  0  0  2  2  2  0  0  X X+2  X  2 X+2  2  2 X+2  2  X
 0  0  0  2  0  2  2  2  0  2  0  2  0  2  0  2  2  0  0  2  2  2  0  0  2  0  0  0  2  2  0  2  0  2  2  2  2  0  2  0  0  2  0  2  0  0  2  0  2  2  2  0  2  0  2  0  2  2  2  2  2  0  0  0  0  0  0  0  0  2  2  2  2  2
 0  0  0  0  2  2  0  0  2  2  2  2  0  2  2  0  0  2  2  2  2  0  0  0  2  0  0  2  0  0  2  0  2  0  2  0  2  0  2  0  0  2  2  0  0  2  0  2  2  0  2  0  0  0  2  0  2  2  0  2  0  0  2  0  2  2  0  2  0  0  0  2  2  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+22x^69+131x^70+94x^71+187x^72+130x^73+97x^74+50x^75+100x^76+40x^77+67x^78+28x^79+24x^80+10x^81+22x^82+1x^84+2x^85+2x^87+6x^88+4x^89+2x^90+2x^91+1x^100+1x^106

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 0.314 seconds.