The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+198x^89+225x^90+526x^91+415x^92+696x^93+365x^94+456x^95+278x^96+442x^97+192x^98+150x^99+39x^100+66x^101+11x^102+20x^103+1x^104+2x^105+5x^106+2x^108+2x^109+2x^113+1x^130+1x^138

The gray image is a code over GF(2) with n=752, k=12 and d=356.
This code was found by Heurico 1.16 in 1.33 seconds.