The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  X  1  1  0  X  1  X  1  1  0  1  1  1  1 X+2  1  1  0  1  1  2  1  1  1  1  X  X  1  X  1  1  1  1  1  2  1  0  0  1  1  1  1  1  1  0  2  0  X  1  1  1  2  1  1  1  1  1  1  1  2  1  0  1  1  X  0  1  1  1  1  1  1  X  1  X  1  2  2  X  1  1  1  1
 0  1  1 X+2 X+3  1  0 X+1  1  X  3  1  0  3  1  1 X+2  1 X+1  3  1 X+1  2  X  X  1 X+3 X+2  1  1  0  1  1 X+2  3  2  1  1 X+3  1  2  2  X  X X+1  1  X  1  1  3  3  X  2 X+3  X  1  1  1  1 X+3  2  1  1  1 X+1  2 X+1  2 X+3  1  1 X+2  1  1  2  1  0  3 X+3 X+1 X+1 X+3 X+3  1  X  2  1  1  X  2  2  2 X+3  0
 0  0  X  0 X+2  0 X+2  0 X+2  X  2 X+2  0  2  0  X  0  2  2 X+2 X+2 X+2  X  X  0  2  X  X  2  X  0 X+2 X+2  2  0  X  0 X+2 X+2  X X+2  0 X+2  2  0 X+2 X+2  2  X  0 X+2  2  2  0 X+2  0  2 X+2 X+2  2  2  2 X+2  2  0  2  X  X X+2  0  2 X+2  2  X X+2  2  X  0 X+2  X  0  2 X+2  2  2 X+2  X  0  X X+2  2  2  X  0
 0  0  0  2  0  0  0  0  0  0  2  0  0  0  0  0  2  0  2  2  0  2  2  2  0  0  0  2  0  2  0  2  0  2  2  0  2  0  0  0  2  0  2  0  2  0  2  0  2  0  2  2  2  0  2  2  2  2  0  0  0  2  2  2  2  2  0  0  0  0  0  0  2  2  0  0  2  2  0  2  0  2  0  0  2  2  0  2  0  0  0  2  2  0
 0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  0  0  2  0  2  2  2  0  2  0  2  2  0  2  2  0  0  0  2  2  2  0  0  2  2  2  2  2  2  2  2  2  2  0  2  2  2  2  2  2  2  2  2  0  2  2  2  0  0  2  0  2  2  0  2  2  2  0  2  0  2  0  0  0  0  2
 0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  2  2  0  2  2  2  2  0  2  0  0  2  2  2  2  0  0  2  0  0  0  2  2  0  2  0  0  2  0  0  0  0  0  0  0  2  2  2  2  0  2  0  0  0  2  2  2  0  2  2  2  2  0  0  2  2  0  2  0  2  0  0  0  2  0  0  0  2  0  0  2  0  2  0  0  2  0  2  0
 0  0  0  0  0  0  2  0  2  0  0  0  2  2  2  2  2  2  2  2  0  2  0  2  2  0  2  0  0  2  0  2  2  2  0  0  2  0  2  2  0  0  0  2  0  0  2  0  2  2  0  2  2  0  2  0  0  0  2  2  0  2  0  0  2  0  0  2  2  0  0  0  0  2  2  2  2  2  0  0  0  2  0  2  0  0  0  0  2  2  0  0  2  2
 0  0  0  0  0  0  0  2  2  0  0  0  2  2  0  0  0  0  0  2  2  2  0  0  0  2  0  2  2  0  2  2  2  0  2  2  2  0  0  2  0  0  0  0  2  2  2  0  2  0  0  0  2  2  0  0  2  2  2  0  2  2  0  0  0  2  0  2  2  0  2  0  2  0  0  2  0  0  2  2  0  0  2  0  2  2  2  2  2  2  0  2  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+49x^84+134x^85+212x^86+304x^87+365x^88+428x^89+564x^90+600x^91+608x^92+616x^93+599x^94+634x^95+656x^96+604x^97+468x^98+374x^99+269x^100+214x^101+155x^102+96x^103+71x^104+36x^105+34x^106+32x^107+16x^108+12x^109+8x^110+6x^111+9x^112+4x^113+6x^114+2x^115+2x^116+1x^118+2x^120+1x^126

The gray image is a code over GF(2) with n=376, k=13 and d=168.
This code was found by Heurico 1.16 in 6.91 seconds.