The generator matrix

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

generates a code of length 77 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+69x^74+16x^75+131x^76+96x^77+114x^78+16x^79+57x^80+9x^82+2x^84+1x^148

The gray image is a code over GF(2) with n=308, k=9 and d=148.
This code was found by Heurico 1.16 in 18.7 seconds.