The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+43x^82+84x^83+119x^84+230x^85+191x^86+352x^87+203x^88+554x^89+207x^90+832x^91+225x^92+1058x^93+209x^94+1032x^95+195x^96+824x^97+163x^98+584x^99+139x^100+300x^101+113x^102+140x^103+85x^104+74x^105+73x^106+36x^107+41x^108+26x^109+22x^110+12x^111+12x^112+4x^113+1x^114+4x^116+2x^117+1x^126+1x^130

The gray image is a code over GF(2) with n=376, k=13 and d=164.
This code was found by Heurico 1.16 in 9.58 seconds.