The generator matrix

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

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+64x^82+74x^83+212x^84+202x^85+469x^86+420x^87+820x^88+608x^89+1208x^90+816x^91+1526x^92+1008x^93+1657x^94+968x^95+1599x^96+810x^97+1270x^98+606x^99+739x^100+326x^101+341x^102+136x^103+170x^104+96x^105+81x^106+40x^107+36x^108+16x^109+17x^110+12x^111+8x^112+6x^113+8x^114+7x^116+2x^118+2x^120+1x^122+2x^126

The gray image is a code over GF(2) with n=376, k=14 and d=164.
This code was found by Heurico 1.16 in 24.8 seconds.