The generator matrix

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

generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+53x^78+4x^79+142x^80+72x^81+257x^82+340x^83+364x^84+888x^85+416x^86+1520x^87+435x^88+2096x^89+445x^90+2440x^91+456x^92+2128x^93+409x^94+1476x^95+361x^96+904x^97+299x^98+356x^99+198x^100+56x^101+118x^102+8x^103+55x^104+28x^106+17x^108+12x^110+10x^112+10x^114+4x^116+4x^120+1x^122+1x^124

The gray image is a code over GF(2) with n=364, k=14 and d=156.
This code was found by Heurico 1.16 in 24.8 seconds.