The generator matrix

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

generates a code of length 74 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+104x^68+124x^69+246x^70+156x^71+239x^72+104x^73+210x^74+136x^75+193x^76+124x^77+130x^78+92x^79+84x^80+32x^81+42x^82+10x^84+8x^86+6x^88+4x^90+2x^96+1x^100

The gray image is a code over GF(2) with n=296, k=11 and d=136.
This code was found by Heurico 1.16 in 0.498 seconds.