The generator matrix 1 0 0 0 0 1 1 1 2 1 1 X 1 1 X+2 X 1 1 2 0 1 2 1 X+2 0 0 X 1 1 1 1 1 2 X 1 0 1 1 1 1 1 1 1 1 0 X X X 1 1 0 1 1 1 X+2 X 0 0 X+2 1 2 X+2 1 1 1 1 2 0 1 1 2 2 1 1 2 X+2 2 1 1 X+2 1 1 1 0 1 0 0 0 0 2 0 2 X+1 X+3 1 3 1 1 1 3 X X 1 X+1 1 2 X+2 X 1 1 X 0 X+3 X+1 X+2 1 0 X+2 X+2 1 2 3 X+1 X+1 X 2 X+2 1 X 1 1 X+1 2 X+2 X+3 2 X+1 X+2 2 2 2 1 1 1 1 1 1 0 X+2 X X 2 X+3 X+2 1 0 X+2 X+2 0 2 1 X+1 0 X+3 X+3 X 0 0 1 0 0 0 3 1 1 2 3 1 2 2 X X+3 X+1 X 1 X+1 3 X X+3 0 1 1 2 X+3 2 X+2 3 0 X+1 1 X+3 0 3 2 X+2 X+1 X+2 X 3 3 X+2 2 X+1 0 X+1 X+1 0 1 X 0 2 1 1 1 X 2 3 X 1 X 1 X+2 1 1 X+3 1 0 0 1 X+1 0 1 1 X 3 1 X+2 3 X+2 0 0 0 1 0 1 1 2 1 3 X 0 2 X+1 1 1 X+3 X+2 X+3 1 1 2 2 1 0 X+2 1 X+1 3 X+2 0 X+3 X+1 X+3 X 0 X+3 X 0 2 3 0 X 3 X+3 1 X 0 X+1 3 1 1 1 3 1 1 2 1 X 0 X+3 1 2 X+3 X X+1 X+1 X 2 X+3 0 3 X+3 X+3 1 0 3 X+1 X X X+2 X+2 X+2 0 0 0 0 1 1 2 3 1 1 0 X+1 X+3 0 X+1 X 3 1 0 X+3 X X+1 X+2 3 X+3 X+2 0 X+1 X+1 X X+3 X+2 X+1 X 2 1 0 2 0 1 X 1 X+3 X+3 X+2 1 2 3 3 X+2 2 2 0 X+1 X 0 X+3 1 X+2 X+3 1 0 0 0 X+2 X+1 X X X+3 X+3 1 X+3 0 X+1 X+3 X+2 X+3 3 X 1 X 3 X+1 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 2 2 2 2 2 2 2 2 2 2 2 X X X X X X+2 X X+2 X X X X X+2 X+2 X X X+2 X+2 X X+2 2 2 X X+2 X X+2 X X+2 2 X X+2 X X+2 X 2 X 2 2 X+2 X+2 X 2 X generates a code of length 83 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 71. Homogenous weight enumerator: w(x)=1x^0+176x^71+666x^72+1160x^73+2088x^74+2566x^75+4162x^76+4888x^77+6616x^78+7338x^79+9478x^80+9206x^81+11515x^82+10250x^83+11798x^84+10012x^85+10176x^86+7490x^87+6778x^88+4614x^89+3828x^90+2494x^91+1582x^92+834x^93+662x^94+258x^95+213x^96+116x^97+57x^98+18x^99+10x^100+18x^101+2x^102+2x^103 The gray image is a code over GF(2) with n=332, k=17 and d=142. This code was found by Heurico 1.13 in 302 seconds.