The generator matrix

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

generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+40x^84+174x^85+248x^86+244x^87+305x^88+374x^89+352x^90+334x^91+298x^92+250x^93+261x^94+274x^95+260x^96+194x^97+165x^98+124x^99+62x^100+26x^101+18x^102+22x^103+13x^104+10x^105+8x^106+10x^107+8x^108+6x^109+3x^110+2x^112+6x^113+2x^116+1x^120+1x^122

The gray image is a code over GF(2) with n=368, k=12 and d=168.
This code was found by Heurico 1.16 in 1.67 seconds.