The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+149x^84+40x^85+204x^86+216x^87+454x^88+432x^89+448x^90+592x^91+594x^92+768x^93+488x^94+768x^95+573x^96+592x^97+448x^98+432x^99+375x^100+216x^101+204x^102+40x^103+101x^104+20x^108+14x^112+14x^116+7x^120+2x^128

The gray image is a code over GF(2) with n=376, k=13 and d=168.
This code was found by Heurico 1.16 in 10.4 seconds.