The generator matrix

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

generates a code of length 81 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+110x^77+167x^78+208x^79+116x^80+94x^81+47x^82+36x^83+42x^84+22x^85+24x^86+84x^87+47x^88+18x^89+1x^90+4x^93+2x^100+1x^110

The gray image is a code over GF(2) with n=324, k=10 and d=154.
This code was found by Heurico 1.16 in 0.344 seconds.