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

generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+135x^82+353x^84+20x^85+506x^86+116x^87+563x^88+260x^89+832x^90+388x^91+725x^92+476x^93+949x^94+412x^95+626x^96+236x^97+551x^98+108x^99+340x^100+32x^101+230x^102+165x^104+98x^106+28x^108+25x^110+13x^112+1x^116+2x^118+1x^140

The gray image is a code over GF(2) with n=372, k=13 and d=164.
This code was found by Heurico 1.16 in 9.42 seconds.