The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+252x^89+711x^90+960x^91+1302x^92+1096x^93+830x^94+688x^95+580x^96+444x^97+419x^98+308x^99+220x^100+164x^101+132x^102+44x^103+20x^104+12x^105+4x^106+3x^108+1x^112+1x^116

The gray image is a code over GF(2) with n=752, k=13 and d=356.
This code was found by Heurico 1.16 in 1.67 seconds.