The generator matrix

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

generates a code of length 94 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+282x^88+830x^89+1437x^90+1614x^91+1778x^92+1872x^93+1882x^94+1848x^95+1192x^96+1076x^97+843x^98+602x^99+525x^100+228x^101+207x^102+88x^103+26x^104+26x^105+9x^106+8x^107+3x^108+5x^110+1x^112+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 4.64 seconds.