The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 1 0 X+2 1 1 1 1 X+2 0 1 1 1 1 X+2 0 1 1 1 1 2 1 1 1 2 1 2 1 1 X X+2 1 1 0 1 1 1 1 1 1 1 1 1 1 0 X+2 1 1 1 1 2 1 1 1 1 0 0 1 1 1 2 1 X X 0 1 2 1 X+2 1 1 1 1 1 0 1 1 X+2 X+3 1 0 X+1 1 X 3 1 0 X+1 1 1 2 3 X+3 X+2 1 1 3 X+2 X+3 X+2 1 1 2 X 3 X+3 1 1 X+3 X 1 3 1 3 X+2 1 1 2 X 1 X+1 X+3 X+1 3 0 X+3 2 X X+3 X+2 1 1 X 1 X+1 0 1 1 0 X+2 X+3 1 X X+1 3 X+3 1 0 1 0 1 1 X 2 1 2 0 X X+1 2 0 0 X 0 X+2 0 X+2 0 X+2 X 2 X+2 0 2 0 X+2 X 2 X X 2 X X 2 2 0 0 2 X+2 X 2 X+2 X+2 X+2 2 X X 0 0 0 0 X+2 X X+2 0 0 X X+2 2 X+2 2 2 X 0 X 2 0 2 X+2 0 X+2 X+2 X 0 0 0 2 X X X+2 X+2 X+2 2 X X+2 X X+2 X+2 X+2 0 0 X+2 0 X+2 0 X 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 2 2 0 2 0 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 0 0 0 2 2 0 2 0 0 2 2 2 2 0 2 0 2 2 0 0 0 2 0 0 2 0 2 2 2 0 0 2 0 0 2 0 2 2 2 0 2 0 2 0 0 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 0 0 2 2 0 2 0 0 0 2 2 0 2 0 2 2 0 0 0 2 2 2 2 0 2 2 2 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 2 0 2 0 2 2 0 0 2 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 0 2 0 2 2 2 2 2 2 2 0 2 2 0 2 0 2 2 0 0 0 0 2 2 0 0 0 2 2 2 0 0 2 0 0 0 2 2 2 0 2 2 0 2 2 2 0 0 2 0 2 2 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 2 0 0 2 2 0 2 0 2 2 0 0 2 2 0 2 0 0 2 2 0 2 2 0 2 2 0 2 2 0 0 0 2 2 0 2 2 0 2 0 0 0 2 2 0 0 2 2 2 2 0 2 2 2 0 2 0 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 0 0 0 2 2 0 0 2 2 2 0 2 2 2 2 2 0 0 2 2 2 2 2 2 2 0 2 2 0 2 2 0 2 2 2 0 2 0 0 0 2 2 0 0 2 0 2 2 2 0 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 0 2 0 generates a code of length 86 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+34x^76+100x^77+145x^78+328x^79+288x^80+634x^81+402x^82+710x^83+473x^84+794x^85+496x^86+900x^87+458x^88+692x^89+358x^90+514x^91+199x^92+286x^93+99x^94+86x^95+56x^96+40x^97+18x^98+16x^99+19x^100+12x^101+11x^102+6x^103+4x^104+2x^105+6x^106+3x^108+1x^112+1x^118 The gray image is a code over GF(2) with n=344, k=13 and d=152. This code was found by Heurico 1.16 in 6.05 seconds.