The generator matrix

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

generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+246x^83+597x^84+952x^85+1229x^86+1574x^87+1728x^88+2092x^89+2045x^90+2412x^91+2479x^92+2610x^93+2492x^94+2286x^95+1963x^96+2038x^97+1529x^98+1426x^99+980x^100+800x^101+499x^102+300x^103+204x^104+122x^105+108x^106+26x^107+10x^108+10x^109+2x^110+6x^112+2x^115

The gray image is a code over GF(2) with n=372, k=15 and d=166.
This code was found by Heurico 1.13 in 24.1 seconds.