The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 X+2 1 1 0 1 1 X+2 0 1 1 1 1 1 X 1 2 1 1 0 2 1 X+2 1 1 1 1 1 1 X 1 1 1 1 1 2 X+2 X 2 0 2 X+2 X X+2 2 2 1 X+2 X+2 2 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 0 1 X 1 0 1 1 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 X+2 1 X+2 X+1 1 X+1 0 1 1 3 3 2 X+3 0 1 X+3 1 1 0 1 1 3 1 X 1 1 0 X+1 2 1 X+3 0 3 0 X 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 X+2 3 X X+1 1 1 X+2 X X+2 0 X+3 X 3 X X+2 X X+3 2 X+3 1 X X+2 0 0 X 0 X+2 0 X+2 2 X X X 2 0 0 X+2 0 2 X+2 2 X+2 X 0 X+2 X+2 2 X+2 X X+2 X+2 X+2 2 2 2 2 0 X+2 0 X+2 2 0 X 2 X+2 2 X 0 X+2 X X+2 X+2 X 0 0 0 0 X+2 2 X 0 2 0 0 X+2 2 2 0 X X+2 X+2 X 0 2 0 2 X X X X+2 2 2 2 0 2 0 X+2 0 0 0 2 0 0 0 2 2 0 2 2 2 0 0 2 0 0 0 2 2 0 2 2 0 2 2 2 2 2 2 0 0 0 0 2 2 2 0 0 0 0 2 2 0 0 2 2 2 2 2 2 2 2 2 0 2 0 2 2 2 2 0 0 0 2 2 0 2 0 2 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 0 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 2 2 0 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 0 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 2 0 2 0 0 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 0 0 0 0 2 2 0 2 0 2 2 2 0 0 2 0 2 0 2 0 0 2 2 2 2 2 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 2 0 2 0 0 2 0 0 2 0 2 0 2 2 0 2 2 2 2 2 0 2 2 2 2 2 2 0 2 2 2 0 0 2 2 0 0 2 2 0 2 2 2 0 0 2 0 2 2 0 2 2 0 2 2 0 2 2 2 0 0 2 2 0 0 2 0 0 0 0 generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+78x^77+125x^78+256x^79+207x^80+362x^81+251x^82+402x^83+230x^84+430x^85+185x^86+380x^87+242x^88+340x^89+166x^90+212x^91+67x^92+50x^93+26x^94+16x^95+13x^96+18x^97+10x^98+10x^99+3x^100+2x^101+1x^102+4x^103+5x^104+1x^106+2x^110+1x^118 The gray image is a code over GF(2) with n=340, k=12 and d=154. This code was found by Heurico 1.16 in 18.8 seconds.