The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 2 0 X X 1 X 1 X 1 1 1 0 2 1 2 1 1 1 0 1 1 X 0 X 1 1 1 1 1 X 1 1 2 X 1 X 1 0 1 1 1 X 1 1 1 1 1 2 1 X X X X 1 0 X 0 0 0 0 0 0 0 X+2 X X X X X+2 X+2 X 2 X 0 X 2 0 X+2 X 2 2 X 2 2 X X 0 X+2 X 2 0 2 2 X+2 X+2 X 2 X X+2 2 0 0 X X X X 2 X X X+2 0 0 X 2 2 X+2 X 0 0 0 0 0 2 2 2 X X+2 0 0 X+2 X+2 2 2 X X 2 0 X 0 2 X 0 X+2 0 X 0 2 X 2 0 0 0 X 0 0 0 X X+2 X 2 X X+2 0 0 X X+2 2 2 2 X 2 X 2 X X+2 X+2 0 X 0 X X X X X+2 0 2 X 2 0 X+2 2 0 X 0 X+2 X+2 0 2 0 X 2 2 X+2 2 X+2 X X X+2 X X 0 2 2 0 2 0 X 0 X+2 0 2 X 0 2 2 X+2 X 2 0 2 2 X+2 X+2 0 X+2 X+2 X X+2 2 X 2 X+2 X X+2 X 0 0 0 0 X 0 X X X 0 X+2 2 X X+2 0 0 X+2 X+2 X+2 X X+2 0 2 2 X 0 0 X 0 0 X 2 X X X 2 0 0 X 0 2 X X 2 X X+2 X X+2 X+2 X 2 0 0 2 2 X+2 2 X X+2 2 X X X+2 0 2 X X+2 X 2 0 0 0 X X+2 X X 0 X+2 X X 2 X 2 0 X+2 2 2 X 0 X+2 X 0 X 0 2 X+2 0 0 0 0 0 X X 0 X X+2 X 0 X 2 X+2 X 2 2 0 X+2 X 2 0 2 X 0 X X X X+2 2 0 0 X+2 0 X 2 2 X+2 X X 0 0 X X+2 2 0 0 X+2 X 0 X+2 X X+2 2 X 0 0 0 X 0 X 0 2 X 0 0 X X+2 X 2 2 X 2 2 X X+2 2 X+2 X 0 X 2 X+2 0 2 X+2 0 2 0 2 0 X+2 0 0 X+2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 0 2 0 2 0 2 0 2 2 2 2 0 2 0 2 2 2 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 0 2 0 0 2 2 2 0 0 0 0 2 0 2 0 2 2 0 0 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 0 2 0 2 0 0 0 2 0 0 0 0 2 2 2 0 0 0 0 2 0 2 2 2 0 2 0 2 0 2 0 2 0 0 0 2 2 0 2 0 0 0 2 2 2 0 2 0 2 2 0 0 0 2 2 2 2 0 0 0 2 0 0 0 generates a code of length 96 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+34x^84+82x^85+130x^86+154x^87+244x^88+296x^89+338x^90+426x^91+429x^92+534x^93+606x^94+624x^95+658x^96+666x^97+581x^98+456x^99+405x^100+344x^101+251x^102+196x^103+179x^104+132x^105+79x^106+90x^107+80x^108+46x^109+54x^110+32x^111+18x^112+10x^113+6x^114+4x^115+2x^117+2x^118+2x^119+1x^142 The gray image is a code over GF(2) with n=384, k=13 and d=168. This code was found by Heurico 1.16 in 9.56 seconds.