The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+100x^86+350x^87+533x^88+578x^89+614x^90+674x^91+682x^92+600x^93+585x^94+584x^95+546x^96+460x^97+369x^98+360x^99+327x^100+268x^101+135x^102+114x^103+132x^104+66x^105+39x^106+30x^107+15x^108+12x^109+12x^110+4x^112+2x^114

The gray image is a code over GF(2) with n=376, k=13 and d=172.
This code was found by Heurico 1.13 in 2.17 seconds.