The generator matrix

 1  0  0  1  1  1 X+2  1  1  X  1  2  1  2  1  1  X  2 X+2  1  1  1  1  1  1  0  X  1  1  2  1  1  1 X+2 X+2  X  1  1  0  1  0  2  0  1 X+2  1  1  2  0  X  0  1  X  1  1  1  1  1 X+2  1  1  2  1  1  1  X  X  1 X+2 X+2  1  1  X X+2  X  2 X+2  1 X+2  X  1  1  2  1  2  1  0  1 X+2  2  1  1  1  X
 0  1  0  0  1 X+3  1 X+2 X+3  1  3  1  X  X  3 X+3  X  1  1  X X+2 X+2  0  2  3  1  1 X+3  0  2 X+1 X+2 X+3  1  1  2  0  1  1  3  2 X+2  1 X+1  1  0  2  1  1  1  1  3  1  X X+2 X+2  0  2  X X+3  X  1 X+2  0  1  1 X+2 X+3  0  1  X  2  0  1  2  0  1 X+1  1  1 X+1 X+1  0 X+2 X+2 X+1  1  1  1  1 X+2  0  2  0
 0  0  1  1 X+1  0 X+3  1 X+3 X+2  X  3  X  1  1 X+2  1 X+3  0  2 X+3  X  2 X+1 X+2 X+2  1  3  X  1  2 X+3 X+1 X+3 X+2  1  X  0 X+1  3  1  1 X+2  X  3  0  3  0 X+3  3  0  1  2 X+3  2  3  0 X+2  1  3  0  0 X+1  X  0  0  1  0  1 X+1  3 X+1  1  1  1  1  1 X+2  1  3  3  3  1  3  1  3 X+1  2  2  3 X+1 X+2  1 X+2
 0  0  0  X  X X+2  0 X+2 X+2  0 X+2  2  2  0  X X+2  2  2  0 X+2 X+2 X+2 X+2 X+2 X+2  2  2 X+2  X X+2  0  0  0 X+2  X X+2  0  2 X+2  2 X+2 X+2  X  2  2  X  0  0 X+2 X+2 X+2  X X+2 X+2  X  0  0 X+2 X+2  0  0 X+2  X  0 X+2  0  0 X+2  X X+2  0 X+2  2  0 X+2  X X+2  2 X+2 X+2  2  0  2  X  2  2  2 X+2  X  0  X  X  X  0
 0  0  0  0  2  0  0  0  2  0  0  0  0  0  0  2  2  0  0  2  2  0  0  2  2  0  0  0  2  2  0  2  0  0  0  0  2  0  0  2  2  2  0  2  2  2  0  2  2  0  0  2  2  2  2  2  0  0  2  0  0  0  0  2  2  2  2  0  2  0  2  0  0  2  0  0  0  0  2  2  2  2  0  0  2  2  2  0  2  0  0  0  2  0
 0  0  0  0  0  2  0  2  2  2  0  2  2  0  2  0  2  2  2  0  0  2  0  2  2  0  0  0  2  0  2  2  0  0  2  0  0  2  0  2  2  2  2  0  2  2  2  0  2  2  0  2  0  2  0  0  2  2  0  2  0  0  0  2  0  2  2  2  0  2  0  0  2  0  2  0  0  0  2  0  0  2  0  2  2  0  0  0  2  2  2  0  0  2
 0  0  0  0  0  0  2  2  2  2  2  0  2  2  2  2  2  2  0  0  2  0  0  0  2  2  0  2  0  0  2  2  0  2  2  2  2  0  0  2  2  0  0  0  0  2  2  2  2  2  2  0  2  0  2  2  0  2  2  0  2  0  2  0  0  0  0  2  2  2  0  0  0  2  0  2  2  0  0  2  2  2  2  0  2  0  2  2  2  2  0  2  0  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+139x^84+200x^85+528x^86+560x^87+824x^88+876x^89+1013x^90+1176x^91+1159x^92+1340x^93+1152x^94+1352x^95+1057x^96+1132x^97+951x^98+768x^99+655x^100+476x^101+343x^102+216x^103+177x^104+72x^105+90x^106+24x^107+66x^108+13x^110+17x^112+6x^114+1x^116

The gray image is a code over GF(2) with n=376, k=14 and d=168.
This code was found by Heurico 1.16 in 20.9 seconds.