The generator matrix

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

generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+46x^86+142x^87+77x^88+112x^89+93x^90+182x^91+71x^92+102x^93+41x^94+54x^95+35x^96+24x^97+8x^98+6x^99+5x^100+18x^101+1x^102+1x^104+2x^116+2x^118+1x^138

The gray image is a code over GF(2) with n=364, k=10 and d=172.
This code was found by Heurico 1.16 in 0.642 seconds.