The generator matrix

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

generates a code of length 81 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+28x^76+184x^77+44x^78+96x^79+60x^80+256x^81+80x^82+64x^83+24x^84+120x^85+4x^86+32x^87+7x^88+16x^89+2x^92+1x^100+4x^108+1x^124

The gray image is a code over GF(2) with n=324, k=10 and d=152.
This code was found by Heurico 1.16 in 0.425 seconds.