The generator matrix

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

generates a code of length 94 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+108x^84+204x^85+504x^86+568x^87+856x^88+888x^89+1123x^90+1120x^91+1081x^92+1384x^93+1074x^94+1312x^95+1161x^96+1112x^97+908x^98+848x^99+664x^100+452x^101+358x^102+232x^103+174x^104+48x^105+109x^106+16x^107+36x^108+8x^109+16x^110+8x^112+4x^114+6x^116+1x^124

The gray image is a code over GF(2) with n=376, k=14 and d=168.
This code was found by Heurico 1.16 in 21.4 seconds.