The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+220x^88+852x^89+1338x^90+1732x^91+1981x^92+2040x^93+1524x^94+1610x^95+1374x^96+1170x^97+838x^98+632x^99+421x^100+300x^101+186x^102+72x^103+34x^104+36x^105+1x^106+16x^108+2x^111+1x^112+2x^113+1x^114

The gray image is a code over GF(2) with n=752, k=14 and d=352.
This code was found by Heurico 1.16 in 4.83 seconds.