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

generates a code of length 97 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+150x^92+480x^93+387x^94+442x^95+468x^96+430x^97+416x^98+392x^99+321x^100+316x^101+133x^102+90x^103+31x^104+22x^105+6x^106+4x^107+1x^108+4x^116+1x^130+1x^138

The gray image is a code over GF(2) with n=776, k=12 and d=368.
This code was found by Heurico 1.16 in 1.44 seconds.