The generator matrix 1 0 0 0 0 1 1 1 1 1 1 2 1 0 1 1 X+2 X+2 2 0 X+2 1 X+2 1 1 2 X 1 2 1 2 1 1 1 1 1 1 1 X+2 X 1 1 1 X+2 X+2 1 1 X X 1 2 X 1 2 1 1 1 1 X+2 X+2 2 1 1 2 1 X+2 2 X+2 X+2 1 1 2 X 0 1 0 1 1 X+2 1 X+2 1 0 1 0 0 0 0 2 2 0 3 X+3 1 X+1 1 3 X 1 2 X 1 1 3 1 1 3 X 1 X+1 0 0 1 X+2 X+1 2 2 X+2 X+1 0 X+2 1 X+3 0 3 X+2 X+2 X+1 0 1 1 X+1 1 1 X 1 X+2 X+2 X+1 1 0 X+2 1 1 3 1 2 0 0 X X X+1 X 1 1 2 X+3 1 3 X+2 1 X X 0 0 0 1 0 0 0 3 X+1 1 1 2 X+1 X+3 X+3 X X+2 X 1 1 2 0 X+1 1 3 2 2 X+1 X 1 X+3 3 0 0 X 0 2 2 X+1 X+2 0 1 X X+3 1 1 2 1 X+2 X+1 1 X+2 1 2 1 3 0 X+2 2 2 1 X+2 X+1 1 2 X X+2 1 X 1 X 0 0 X+3 X+2 2 2 3 X+2 0 3 X X 0 0 0 1 0 1 1 X X X+2 X+2 X+2 3 X+3 3 3 X+3 X X+1 X+1 2 0 1 X+1 0 1 2 1 X+3 1 X 2 X+1 X+2 X+2 3 0 X+3 1 X+1 X+2 1 3 1 3 3 0 0 1 X 0 X+2 X+2 X X+3 2 X+2 X X X X X+2 3 1 X+3 X X+3 1 0 X+3 X+2 2 1 1 1 X+3 X 1 X+2 X+1 X+2 X+2 0 0 0 0 1 1 2 0 X+1 2 0 0 1 X+1 X+3 X X+3 1 2 X+2 3 3 0 X X+3 1 X X+1 X+3 X+1 X+1 3 X+2 X+3 X X 2 1 3 2 X+1 1 X+1 0 X+3 X 1 X+1 1 X 2 3 2 2 X 1 3 0 1 X X+2 X X X+3 2 1 X X+2 1 1 X 1 3 3 X+1 X+3 1 X+1 2 X+3 1 X 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 2 2 X+2 X X+2 X+2 X+2 X X+2 X X X X X+2 X X+2 X X X+2 X X X+2 X+2 2 X+2 X+2 X+2 2 X X X X+2 X X 2 X X X 2 X+2 X+2 X+2 generates a code of length 82 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+238x^70+658x^71+1151x^72+1776x^73+3079x^74+3504x^75+5223x^76+5958x^77+8140x^78+8092x^79+10842x^80+10654x^81+12069x^82+10146x^83+11217x^84+9080x^85+8239x^86+6130x^87+5302x^88+3372x^89+2622x^90+1310x^91+984x^92+522x^93+399x^94+158x^95+92x^96+62x^97+26x^98+16x^99+4x^100+4x^102+2x^103 The gray image is a code over GF(2) with n=328, k=17 and d=140. This code was found by Heurico 1.13 in 294 seconds.