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

generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+68x^82+139x^84+16x^85+241x^86+32x^87+347x^88+128x^89+289x^90+224x^91+486x^92+224x^93+482x^94+224x^95+278x^96+128x^97+323x^98+32x^99+206x^100+16x^101+98x^102+57x^104+15x^106+14x^108+10x^110+4x^112+9x^114+3x^116+1x^118+1x^144

The gray image is a code over GF(2) with n=372, k=12 and d=164.
This code was found by Heurico 1.16 in 3.1 seconds.