The generator matrix

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

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+110x^73+193x^74+162x^75+130x^76+92x^77+71x^78+32x^79+30x^80+30x^81+35x^82+58x^83+38x^84+24x^85+3x^86+4x^87+9x^90+1x^96+1x^98

The gray image is a code over GF(2) with n=308, k=10 and d=146.
This code was found by Heurico 1.16 in 0.272 seconds.