The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+176x^87+1083x^88+1700x^89+2384x^90+2828x^91+3432x^92+3476x^93+3666x^94+3264x^95+3293x^96+2440x^97+1920x^98+1220x^99+827x^100+444x^101+282x^102+148x^103+92x^104+36x^105+24x^106+8x^107+14x^108+4x^110+4x^111+1x^112+1x^116

The gray image is a code over GF(2) with n=752, k=15 and d=348.
This code was found by Heurico 1.16 in 16.9 seconds.