The generator matrix 1 0 0 1 1 1 X 1 X+2 1 1 X 1 2 1 1 2 X 1 1 0 1 1 0 1 X X+2 1 X 1 1 1 X+2 1 1 1 2 X+2 1 1 0 0 2 1 1 1 0 1 X 2 0 1 0 2 1 1 1 1 1 1 X+2 1 1 1 1 1 X+2 1 1 1 1 1 2 1 2 1 1 2 1 X 1 1 1 1 1 1 0 1 1 1 1 1 1 X+2 X+2 1 1 0 1 0 0 1 X+3 1 2 0 2 X+3 1 1 1 2 X+1 1 X 0 3 1 X+2 3 1 1 X 1 0 1 X X+1 X+3 1 X X+3 X 1 2 3 0 0 1 1 3 X+1 X+2 1 3 1 X 1 1 1 0 X+2 2 2 3 1 X+2 1 0 X+1 X+3 1 X+3 1 3 X+1 1 3 X+1 X X 1 2 X 1 0 1 X+1 X+3 0 1 X 0 1 X+1 2 X 3 2 X 2 1 X+2 0 0 0 1 1 X+1 0 1 X+1 1 X X+1 X 0 1 0 1 X+2 1 X+1 2 1 X+2 X X+1 1 1 2 3 X+1 0 X+2 1 X 1 X+2 X X+2 1 X+3 1 1 3 X+1 X+2 X+3 X+3 X+3 X+1 X+2 1 X+1 0 X+2 1 2 X+3 3 3 2 X 0 X+1 2 X+3 2 0 X X+2 X+2 X 1 X 1 X+1 3 1 3 2 X+2 X X+1 X+1 1 2 2 X+2 2 1 X 2 3 X+1 2 1 X 0 0 0 0 0 X X X+2 2 X+2 0 0 X 2 X+2 0 X X 0 0 2 2 X X 0 X 0 X+2 X+2 2 X+2 X+2 0 2 X+2 0 0 2 0 X+2 X 0 X+2 0 2 X 2 X+2 X+2 2 X 2 X X X+2 2 X+2 0 0 X+2 X+2 X X X 2 0 2 X 0 X+2 X 2 X+2 2 2 0 X X+2 2 0 X 2 X X+2 X 2 0 0 0 0 X+2 X+2 X+2 2 X 2 X X+2 0 0 0 0 0 2 0 0 2 2 2 0 2 2 0 2 2 0 2 2 2 2 2 0 2 2 2 0 2 0 0 0 0 2 0 2 2 2 0 0 0 2 2 2 0 2 2 0 0 0 2 0 0 2 0 0 0 2 2 2 0 2 0 0 2 0 2 0 0 2 2 2 0 0 2 2 2 0 2 0 2 0 2 2 0 2 0 2 0 0 2 0 2 0 2 2 2 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 0 2 2 2 2 0 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 2 2 2 0 2 2 0 2 2 2 0 0 0 2 2 2 0 2 2 0 0 2 2 2 2 0 2 0 0 0 2 0 generates a code of length 97 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+49x^88+188x^89+314x^90+446x^91+595x^92+626x^93+636x^94+652x^95+592x^96+608x^97+585x^98+522x^99+482x^100+354x^101+316x^102+316x^103+268x^104+218x^105+161x^106+92x^107+48x^108+52x^109+28x^110+14x^111+8x^112+2x^113+4x^114+4x^115+3x^116+3x^118+2x^119+2x^120+1x^126 The gray image is a code over GF(2) with n=388, k=13 and d=176. This code was found by Heurico 1.16 in 5.46 seconds.