The generator matrix

 1  0  1  1  1 X+2  1  1  0  2  1  1 X+2  1  1  1  0  1  1  X  1  1 X+2  1  1  1  1  1  1  0 X+2  X  1  1  2  1  1  1 X+2  2  1  1  1  1  0  1  1  X  1  1  0  1  1  1  1  1  1  0  1  X  0  1  1  1  1  0  1  X  1  1  1  1  0  2  1  1  0 X+2  X  X  1  1  0  1  X  1  1  1  1  1  X  1  1
 0  1  1  0 X+3  1  X X+1  1  1  0  3  1  X  3  X  1 X+1 X+2  1  2  1  1 X+3 X+1  3  3  2  0  1  1  1  3 X+2  1  3  2 X+3  1  1  X  X  3  X  1 X+2  0  1 X+3  X  1 X+3  1 X+3  0  2  3  1  2  1  1  2 X+3  1  2  1  X  1 X+2  3  2 X+2  1  1  0  3  1  1 X+2  1 X+3 X+1  1 X+1  X  2  3 X+2 X+3 X+2  1 X+2  0
 0  0  X  0 X+2  0  0  X X+2  X  X  X  2  X  0  2  0  2  X X+2 X+2  2 X+2  2 X+2  X  X  0 X+2  0  2 X+2  2  2 X+2  0 X+2  2  X  0  0 X+2 X+2 X+2 X+2  X  X  X  X  X  0 X+2 X+2  2  0  2  2  X X+2  0  0  0  X X+2  0  2  X X+2  2  2 X+2  X  2  2  2  X X+2  X  X  X  0  0 X+2 X+2 X+2  X  2  0  0  2  0  2  0
 0  0  0  X  0  0  X  X  X  0  X X+2  X  2  0  0 X+2  2  X X+2  2 X+2  0  X  2 X+2  0  X  X  2  0  2  2  2  0  0  2  X X+2  X  X  2  2  X  X  X X+2  2  0  2  X  X X+2  2  2  X  0  2 X+2  X  X X+2 X+2 X+2  0  0 X+2  0 X+2 X+2  0  X  0  0  X X+2 X+2 X+2  0 X+2  0  2  0  X  X X+2  X  0  X  X  X  X  2
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  2  0  0  0  0  2  0  2  2  2  2  0  2  0  2  0  2  2  0  2  0  0  2  2  2  0  2  0  0  2  2  0  0  2  2  0  2  2  0  2  2  0  2  0  2  2  0  0  0  2  2  2
 0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  0  0  2  2  2  2  0  2  0  2  0  2  2  0  0  2  2  2  2  2  0  2  0  0  2  0  0  2  0  2  2  2  2  2  2  2  2  2  0  2  2  2  0  2  2  2  2  0  2  2  2  2  0  0  2  0  0  2  2  2  2  2  0  0  0  2  2  0  0  2  0  0  0  2  2  2  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  0  0  2  0  0  0  0  2  2  2  0  0  2  0  0  2  2  0  0  2  0  0  2  0  0  2  0  2  0  2  0  2  2  2  0  2  0  0  2  0  0  2  2  0  2  2  0  0  2  2  0  2  0  2  0  0  2  0  0  2  2  0  2  2  0  2  0  2  2  2  2  0  2  2  2  0  0
 0  0  0  0  0  0  0  2  2  2  2  2  0  2  0  0  0  0  2  2  2  0  2  0  2  2  2  0  2  2  2  0  2  2  0  2  0  2  0  2  0  2  0  0  0  0  2  0  2  2  0  2  0  0  2  0  2  2  2  2  0  2  0  0  0  0  0  0  2  2  2  2  2  2  2  0  0  2  0  2  2  0  0  0  0  0  2  2  0  2  2  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+134x^82+40x^83+462x^84+164x^85+682x^86+472x^87+1086x^88+828x^89+1275x^90+1012x^91+1711x^92+1140x^93+1435x^94+996x^95+1292x^96+788x^97+918x^98+500x^99+576x^100+152x^101+285x^102+52x^103+184x^104+111x^106+45x^108+21x^110+13x^112+2x^114+4x^116+1x^118+2x^124

The gray image is a code over GF(2) with n=372, k=14 and d=164.
This code was found by Heurico 1.16 in 24.2 seconds.