The generator matrix

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

generates a code of length 82 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+62x^77+115x^78+84x^79+162x^80+88x^81+118x^82+62x^83+118x^84+48x^85+72x^86+12x^87+30x^88+20x^89+12x^90+8x^92+6x^93+1x^102+2x^107+2x^110+1x^120

The gray image is a code over GF(2) with n=328, k=10 and d=154.
This code was found by Heurico 1.16 in 0.444 seconds.