The generator matrix

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

generates a code of length 95 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+71x^86+132x^87+399x^88+420x^89+580x^90+540x^91+685x^92+540x^93+700x^94+576x^95+615x^96+486x^97+592x^98+332x^99+444x^100+258x^101+285x^102+158x^103+115x^104+58x^105+63x^106+46x^107+37x^108+26x^109+8x^110+6x^111+6x^112+4x^113+4x^114+2x^115+2x^116+1x^122

The gray image is a code over GF(2) with n=380, k=13 and d=172.
This code was found by Heurico 1.16 in 6.13 seconds.