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

generates a code of length 98 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+190x^94+810x^95+659x^96+632x^97+312x^98+464x^99+194x^100+196x^101+126x^102+198x^103+116x^104+84x^105+56x^106+48x^107+5x^108+2x^110+2x^118+1x^124

The gray image is a code over GF(2) with n=784, k=12 and d=376.
This code was found by Heurico 1.16 in 0.656 seconds.