The generator matrix

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

generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+180x^67+296x^68+432x^69+391x^70+416x^71+437x^72+384x^73+248x^74+292x^75+214x^76+176x^77+148x^78+122x^79+104x^80+84x^81+52x^82+72x^83+24x^84+12x^85+1x^86+6x^87+4x^88

The gray image is a code over GF(2) with n=292, k=12 and d=134.
This code was found by Heurico 1.16 in 0.814 seconds.