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 1 2 1 1 1 X 1 X+2 1 1 X+2 1 1 1 X 1 0 0 1 1 1 1 1 1 X 1 2 1 X+2 1 1 X+2 1 2 2 1 X+2 1 1 1 0 1 1 2 1 1 1 1 1 X+2 2 1 1 1 1 1 1 0 X 0 X 1 1 X 2 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 0 X+3 1 3 1 0 2 1 1 X+2 1 1 0 1 X+2 X+1 X+1 1 X 1 1 1 X+2 1 2 X+3 X 1 X+3 1 X 1 X 2 1 X+1 1 1 2 1 3 3 X+2 1 X 3 1 X+1 2 X 3 3 1 1 X X X+3 X+3 0 2 1 0 1 1 1 0 X+2 X 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 X 2 X 0 X+2 X+2 X+2 2 X 2 X X+2 2 X+2 X 2 X 0 X+2 X+2 0 X+2 X 2 X 0 X+2 0 0 X+2 X X+2 X 2 0 2 X 2 X 2 0 2 X 0 0 2 0 X 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 X+2 2 X X+2 2 2 X X 2 X X X+2 2 2 0 2 X+2 X+2 0 X X 0 X X X X X 2 X+2 2 0 0 0 2 0 X 2 2 0 X+2 0 X X+2 X+2 X X 2 2 0 X 0 X 2 X 0 X+2 2 0 0 X+2 X X+2 X 0 0 X 2 X+2 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 X+2 0 0 X X X 0 X+2 2 X X 2 0 X X+2 X+2 0 2 0 X 2 0 X+2 X+2 2 X+2 0 2 X+2 2 0 X+2 2 0 0 0 X X X+2 X+2 0 X+2 2 2 X 0 0 2 X+2 X 2 2 X+2 X 0 0 X+2 X+2 0 0 2 X X X 2 X X+2 2 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 0 X 2 X X+2 0 X+2 X X X 2 X 0 0 X 2 0 0 0 2 X 2 X+2 X+2 0 2 X+2 2 X+2 2 X X+2 X X+2 0 X+2 X 2 2 X+2 X 2 2 0 X 2 X+2 X 2 2 2 X 0 X+2 X+2 2 X+2 2 X+2 X X+2 X X X+2 X+2 generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+90x^79+152x^80+240x^81+433x^82+514x^83+611x^84+856x^85+985x^86+1162x^87+1328x^88+1288x^89+1347x^90+1366x^91+1188x^92+1032x^93+973x^94+824x^95+637x^96+424x^97+295x^98+204x^99+120x^100+100x^101+69x^102+52x^103+22x^104+24x^105+20x^106+12x^107+4x^108+4x^109+4x^110+1x^114+1x^116+1x^118 The gray image is a code over GF(2) with n=360, k=14 and d=158. This code was found by Heurico 1.16 in 22.1 seconds.