The generator matrix 1 0 0 0 0 1 1 1 2 1 1 1 X+2 1 0 X+2 1 2 1 X 1 0 1 1 1 X X X+2 0 X+2 1 0 1 X 1 1 X 1 2 1 1 1 1 1 1 X+2 1 X+2 X 2 1 1 X+2 X+2 X 1 2 X+2 1 X+2 1 2 1 0 2 1 1 1 1 0 X+2 1 X+2 X 1 0 X 1 1 1 X+2 1 2 1 0 1 0 1 0 0 0 0 0 0 0 X+1 2 2 2 2 1 1 X+3 1 3 X+2 3 1 X+3 3 X+2 X 1 0 1 1 3 1 1 1 0 3 1 X+3 1 X+2 X+3 2 X+3 2 X+2 X+2 2 X 1 1 X+1 X+1 1 2 1 3 X 1 1 X+2 X 2 X+3 1 1 0 1 X+1 3 0 1 X+2 X+2 1 0 1 1 0 3 X 2 X+1 1 1 0 3 0 0 1 0 0 0 1 3 1 2 X X+3 1 0 X+3 0 X X 1 X+2 3 3 1 X+3 1 1 X+3 0 X+2 X X 1 2 X X+2 2 X+2 X+1 X+1 0 1 X X+2 3 1 1 X+3 1 X X+1 X+1 X X+1 0 1 X+2 1 3 2 X+2 3 X+2 X+1 1 0 2 3 X X+1 0 0 X+2 1 2 X+2 1 X+1 2 X+2 X+2 X 2 X X+1 1 X+1 0 0 0 1 0 1 1 2 3 3 0 X+2 X+2 X+1 X X+3 X X+1 X 1 X+3 0 2 X+3 X+3 X+3 3 1 3 X+2 2 1 X+1 X+2 X+1 1 0 X 1 X+1 3 X+2 3 0 1 X+2 X+3 2 X+3 1 3 X+3 X 1 X+3 X X+1 X+2 2 1 0 1 2 3 X+1 3 X+1 X 0 X+2 2 X+1 X 3 0 X+3 X X+2 X+3 X+2 X X+3 X+1 3 1 1 0 0 0 0 1 1 2 1 1 3 X+3 X+2 1 X X+1 3 1 0 3 X+1 X+2 X+2 X X+1 X+3 2 X+2 1 1 2 2 X+3 0 X+3 1 X+3 X+3 X X+1 X+2 X+2 X 0 2 X+2 1 1 2 X+2 X 1 0 2 0 1 X+3 X+3 1 X+3 X+1 3 X+2 0 1 X+3 2 X+2 X X+1 1 X+2 X+3 X+3 1 X X 3 X+3 3 2 1 X+3 X+2 X+3 2 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 X+2 X+2 X X X+2 X X+2 X+2 X X+2 X+2 X+2 X+2 X X+2 X X X+2 X+2 X+2 2 X X+2 X X X X X+2 X+2 2 X+2 2 X+2 X 2 X+2 X+2 X 2 2 X+2 X+2 generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+227x^74+666x^75+1368x^76+2178x^77+2898x^78+3894x^79+5045x^80+6304x^81+7769x^82+9092x^83+9778x^84+10652x^85+10882x^86+10462x^87+10236x^88+9476x^89+8213x^90+6396x^91+5048x^92+3824x^93+2566x^94+1678x^95+1036x^96+610x^97+303x^98+236x^99+118x^100+34x^101+38x^102+22x^103+10x^104+10x^105+2x^107 The gray image is a code over GF(2) with n=344, k=17 and d=148. This code was found by Heurico 1.13 in 310 seconds.