The generator matrix 1 0 0 0 0 1 1 1 X+2 X 1 X+2 1 0 1 1 1 1 1 X 1 2 1 X 2 1 1 X 2 1 X 1 1 1 X X 1 0 X 1 X+2 X+2 0 1 2 X 1 X 1 1 1 1 1 X+2 1 X 2 X X+2 1 1 1 1 1 0 1 X+2 1 1 1 1 X 1 0 1 1 1 1 0 1 1 X 0 1 X+2 1 0 1 0 0 0 X 2 X+2 X 1 3 1 X+1 1 3 3 0 0 3 1 X+2 1 2 1 0 X+3 X+1 0 1 1 0 X+1 X+2 X 1 1 2 1 1 X X+2 X X+2 X 2 1 X+1 1 X+1 3 X 1 X+2 X+2 0 X 1 1 1 3 X+3 X+3 2 3 X+2 X+3 1 2 2 X+3 3 1 X+3 1 X+3 1 X+2 1 1 X+1 X+3 0 X X 1 0 0 0 1 0 0 0 0 0 2 0 2 0 0 2 2 0 1 3 1 X+3 X+1 3 X+3 X+3 1 X+3 1 1 X+3 3 1 X X+1 X X+3 X X+2 X+2 X+2 2 X X 1 X+1 X X+3 2 X+2 1 X+1 3 X X+1 X+2 2 1 X+1 X+2 3 3 3 1 1 X X X+2 2 3 1 2 2 0 0 X+1 X+2 X+1 3 X 3 X+1 X 1 X+2 X+1 X+2 2 0 0 0 1 0 0 3 1 1 3 1 X+2 X+2 X+3 X X+1 2 3 X+2 X 3 1 0 2 3 X+3 X X+3 3 3 X+2 X+1 2 X+3 2 3 X 2 X+2 X+2 1 X+2 0 X+1 1 X+2 X+3 2 X X+1 X+1 X 0 1 X 0 X+2 2 X+3 0 0 1 X X+1 1 X X+2 X+2 3 X+2 X+1 1 3 1 1 X 2 2 X+1 2 0 X+2 0 0 X+2 X+1 0 0 0 0 1 1 1 X 3 X+2 1 X+3 X+2 3 X+3 X 3 X X+2 3 X+1 3 2 X 1 3 3 X X+2 X+2 X+3 2 X+3 0 1 X+1 X+1 X 1 X+2 3 1 3 X 0 X+3 3 X X+2 X+1 X+1 3 X+2 0 X 3 2 0 X+1 X 3 2 1 X X+3 X+2 X+1 0 X+2 X+1 0 0 X+1 0 0 X+1 2 X+1 X 1 3 0 1 2 X+2 1 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 0 2 2 0 0 2 0 0 2 0 2 0 2 0 2 0 0 0 2 0 0 0 2 0 2 0 0 0 2 2 0 0 2 2 2 2 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 2 0 0 2 2 0 2 generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+166x^75+660x^76+986x^77+1676x^78+2082x^79+3007x^80+3070x^81+4068x^82+4292x^83+5121x^84+4924x^85+5761x^86+4570x^87+5123x^88+4398x^89+4427x^90+3160x^91+2668x^92+1872x^93+1477x^94+820x^95+601x^96+292x^97+181x^98+78x^99+34x^100+10x^101+10x^102+1x^140 The gray image is a code over GF(2) with n=344, k=16 and d=150. This code was found by Heurico 1.13 in 84.5 seconds.