The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+306x^90+624x^91+662x^92+578x^93+464x^94+372x^95+283x^96+198x^97+170x^98+132x^99+117x^100+92x^101+57x^102+20x^103+17x^104+2x^114+1x^122

The gray image is a code over GF(2) with n=752, k=12 and d=360.
This code was found by Heurico 1.16 in 0.594 seconds.