The generator matrix 1 0 1 1 1 0 1 1 X 1 X+2 1 1 1 0 1 1 1 X 2 1 2 1 1 1 2 1 1 1 1 X 1 X+2 1 1 X+2 1 1 1 X+2 0 1 1 0 1 1 1 1 X+2 2 1 1 1 1 0 1 1 1 0 1 X 1 1 1 1 0 X 1 1 1 0 1 2 1 1 1 2 1 X X+2 2 X 1 1 1 1 1 0 1 1 0 1 1 0 X+3 1 2 1 X+3 3 2 1 2 3 X+1 1 1 2 1 X+3 0 1 1 3 0 2 1 1 X+2 1 1 0 1 X+2 X+1 X+1 1 1 0 3 1 2 X+1 X+3 X 1 1 2 3 2 X+2 1 X+2 X+2 X+2 1 X+1 1 X+1 X+1 X+1 X 1 X X+1 X+1 X 1 1 1 X X+1 2 1 2 X+2 1 X 1 X X+1 2 X+1 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 X+2 X X+2 X X X+2 X X X X X X+2 X+2 X+2 X+2 2 X 0 X X+2 2 X X+2 0 0 2 2 X X 2 X+2 0 2 X+2 X 2 2 X+2 X+2 0 X+2 2 X 0 X+2 X X X+2 X 2 0 2 0 2 X+2 0 0 X X+2 0 0 0 0 X 0 0 0 0 2 X+2 2 0 0 2 X X+2 X+2 X X X 0 X+2 2 X+2 X 2 X+2 2 X X 2 X X X+2 2 2 0 2 X+2 X+2 2 0 2 0 0 X+2 X X X+2 X+2 0 2 X+2 0 0 X X 0 0 2 X+2 X+2 0 0 2 X+2 X+2 X+2 X+2 X 2 0 0 2 2 0 X X+2 X 0 X+2 0 0 X+2 X+2 2 X 0 0 0 0 X 0 X 2 X X+2 X X X+2 X 0 2 0 X+2 X+2 X+2 2 0 0 X+2 0 X X X 0 X+2 2 X X 2 0 X X+2 X+2 0 2 X 2 2 2 0 X X+2 2 X+2 0 X+2 0 2 0 X+2 2 2 X+2 0 X+2 2 0 X+2 0 2 X+2 0 0 X X+2 2 X X+2 0 X+2 2 X 0 0 2 X X X 2 X+2 0 X 0 0 0 0 0 X X+2 X 2 X X+2 X+2 X 0 X+2 X+2 X+2 X+2 2 X+2 X 0 0 0 2 X 0 2 X X+2 0 X+2 X X X 2 X 0 0 X X+2 2 2 X+2 2 0 X+2 2 0 2 2 X+2 0 0 X X X X+2 2 0 2 X+2 X+2 X+2 X X+2 0 X+2 X+2 0 X 2 2 2 X+2 X+2 X X+2 2 2 2 2 0 0 0 X 2 generates a code of length 87 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+52x^76+136x^77+245x^78+384x^79+488x^80+716x^81+818x^82+1014x^83+1237x^84+1254x^85+1269x^86+1424x^87+1348x^88+1160x^89+1221x^90+876x^91+788x^92+654x^93+376x^94+324x^95+187x^96+126x^97+89x^98+58x^99+41x^100+44x^101+10x^102+12x^103+11x^104+6x^105+4x^106+4x^107+5x^108+1x^112+1x^116 The gray image is a code over GF(2) with n=348, k=14 and d=152. This code was found by Heurico 1.16 in 21.5 seconds.