The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+230x^84+388x^85+800x^86+756x^87+1134x^88+916x^89+1280x^90+1080x^91+1315x^92+1132x^93+1302x^94+1000x^95+1139x^96+820x^97+946x^98+540x^99+584x^100+304x^101+268x^102+156x^103+150x^104+56x^105+30x^106+20x^107+23x^108+12x^110+2x^118

The gray image is a code over GF(2) with n=372, k=14 and d=168.
This code was found by Heurico 1.16 in 18.4 seconds.