The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+66x^83+190x^84+284x^85+401x^86+566x^87+654x^88+878x^89+984x^90+1102x^91+1295x^92+1266x^93+1291x^94+1216x^95+1192x^96+1156x^97+1025x^98+858x^99+584x^100+396x^101+312x^102+204x^103+130x^104+82x^105+71x^106+68x^107+30x^108+26x^109+8x^110+14x^111+17x^112+4x^113+4x^114+2x^115+1x^116+4x^117+1x^120+1x^128

The gray image is a code over GF(2) with n=376, k=14 and d=166.
This code was found by Heurico 1.16 in 44.9 seconds.