The generator matrix

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

generates a code of length 82 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+128x^76+128x^77+274x^78+168x^79+201x^80+80x^81+170x^82+112x^83+153x^84+160x^85+202x^86+104x^87+94x^88+16x^89+10x^90+22x^92+12x^94+7x^96+4x^98+1x^112+1x^116

The gray image is a code over GF(2) with n=328, k=11 and d=152.
This code was found by Heurico 1.16 in 0.702 seconds.