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

generates a code of length 77 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+102x^73+160x^74+202x^75+132x^76+112x^77+33x^78+40x^79+53x^80+50x^81+25x^82+34x^83+36x^84+24x^85+4x^86+4x^87+8x^89+1x^94+1x^98+2x^100

The gray image is a code over GF(2) with n=308, k=10 and d=146.
This code was found by Heurico 1.11 in 0.27 seconds.