The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+252x^88+40x^89+292x^90+120x^91+339x^92+608x^93+866x^94+608x^95+324x^96+120x^97+234x^98+40x^99+143x^100+78x^102+26x^104+2x^106+2x^108+1x^168

The gray image is a code over GF(2) with n=752, k=12 and d=352.
This code was found by Heurico 1.16 in 16.5 seconds.