The generator matrix

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

generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+102x^82+232x^83+415x^84+670x^85+757x^86+806x^87+1069x^88+1216x^89+1232x^90+1352x^91+1210x^92+1190x^93+1180x^94+1108x^95+1010x^96+674x^97+654x^98+554x^99+310x^100+248x^101+136x^102+74x^103+66x^104+30x^105+31x^106+28x^107+13x^108+4x^109+3x^110+4x^111+2x^112+1x^114+2x^115

The gray image is a code over GF(2) with n=368, k=14 and d=164.
This code was found by Heurico 1.16 in 19.3 seconds.