The generator matrix

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

generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+116x^83+333x^84+472x^85+526x^86+788x^87+634x^88+654x^89+569x^90+610x^91+499x^92+558x^93+536x^94+478x^95+290x^96+358x^97+205x^98+164x^99+157x^100+90x^101+40x^102+44x^103+37x^104+12x^105+12x^106+6x^107+1x^108+2x^111

The gray image is a code over GF(2) with n=364, k=13 and d=166.
This code was found by Heurico 1.13 in 2.05 seconds.