The generator matrix 1 0 1 1 1 X+2 2 1 1 1 1 X 1 1 0 0 1 1 1 X+2 1 1 X 1 1 0 1 X 1 1 1 X+2 1 1 2 1 1 X+2 1 X 1 1 1 X 1 0 1 0 0 1 2 2 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 2 2 0 1 1 1 1 X+2 1 1 1 1 0 X 1 1 0 1 1 1 1 1 X+2 1 X 0 0 1 1 X+2 1 1 0 1 1 0 1 1 1 2 X+1 3 X 1 X+2 X+3 1 1 X 1 1 1 0 X+1 1 X+2 X+1 1 2 1 X+3 0 X+2 1 3 X+1 1 2 X 1 1 1 0 X+2 1 1 X+3 1 X+2 1 1 0 1 1 1 X+3 X 3 X+2 X+2 X+3 1 1 0 1 X+1 0 3 X+3 1 1 1 X+2 0 X+3 X 1 3 2 1 X 1 1 0 1 1 3 X 1 X+3 0 1 1 1 1 1 X+3 X+2 1 X+3 3 0 0 X 0 0 0 0 0 2 0 2 2 0 0 0 2 2 0 0 0 2 2 0 2 0 0 2 2 X X+2 X+2 X+2 X X+2 X+2 X X+2 X X X+2 X X+2 X X X X+2 X X+2 X+2 X 2 X X X+2 X 2 2 X+2 0 2 X+2 X 2 2 X 0 X+2 X+2 2 X X+2 0 X+2 2 2 0 0 X+2 X 0 2 X+2 0 X+2 X X X+2 X 0 0 0 X+2 X+2 X X+2 X+2 X X+2 X+2 0 0 0 X 0 0 0 2 2 2 0 2 0 2 X+2 X X X+2 X+2 X+2 X X+2 X X X+2 X+2 0 0 X+2 X+2 X+2 0 X+2 2 X+2 2 0 X+2 X+2 X+2 X+2 2 2 0 X X 0 X 0 0 0 0 X 2 2 X+2 X+2 X 2 2 X 0 2 X+2 0 0 2 X+2 X X X X X X 2 X 0 X+2 X X X+2 0 2 0 X X 0 X 2 2 2 0 0 2 0 X+2 X X X 0 0 0 0 X 0 X+2 X+2 2 0 X X+2 2 X+2 X 0 X+2 0 X+2 2 X+2 X+2 X 2 2 2 X+2 0 X 0 X+2 X 0 X X 0 X+2 2 X+2 X+2 2 2 X 2 2 2 X+2 X 0 X+2 2 X+2 0 X+2 X X+2 X X+2 X X+2 X 0 2 2 2 2 0 2 X+2 X+2 2 X+2 X+2 X+2 2 2 0 X 0 X 2 X 0 2 0 X X+2 X X 2 X X+2 X 2 0 2 X X X+2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 0 2 2 0 2 2 2 2 2 0 0 2 0 0 0 2 0 0 2 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 0 0 2 0 0 0 generates a code of length 99 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+170x^90+116x^91+430x^92+264x^93+692x^94+424x^95+665x^96+472x^97+729x^98+520x^99+713x^100+472x^101+589x^102+424x^103+566x^104+264x^105+294x^106+116x^107+77x^108+62x^110+50x^112+39x^114+19x^116+13x^118+4x^120+4x^122+1x^128+1x^132+1x^136 The gray image is a code over GF(2) with n=396, k=13 and d=180. This code was found by Heurico 1.16 in 8.67 seconds.