The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+308x^88+860x^89+1267x^90+1798x^91+1644x^92+1948x^93+1866x^94+1642x^95+1496x^96+1092x^97+729x^98+700x^99+421x^100+280x^101+131x^102+90x^103+45x^104+24x^105+21x^106+10x^107+4x^108+4x^109+1x^110+1x^114+1x^116

The gray image is a code over GF(2) with n=752, k=14 and d=352.
This code was found by Heurico 1.16 in 5.12 seconds.