The generator matrix 1 0 0 0 1 1 1 X X+2 1 1 1 X+2 0 1 0 1 0 1 1 X+2 1 1 1 X+2 X X 1 2 2 2 1 1 X 1 1 X+2 0 1 2 0 1 1 1 X+2 1 0 1 1 X 2 1 X X+2 1 X+2 X 1 2 1 2 1 1 1 1 X+2 1 1 1 1 1 0 1 1 1 1 0 1 1 0 2 1 1 1 1 1 1 0 1 0 0 X 0 X+2 X+2 1 3 3 3 1 1 X+1 X+2 X+1 1 X 3 1 0 X+3 X 0 2 X X+3 1 1 1 X+1 X 1 1 1 0 1 2 1 1 X+2 2 X X X 1 1 X 1 1 X+1 X 2 X+1 X+2 X+2 0 1 1 1 X+3 3 1 X+3 1 X+2 X+3 X X+2 0 X 1 X+3 X+2 X+1 1 X+3 2 0 1 2 X+3 X+1 X+3 2 2 0 0 1 0 X 1 X+3 1 3 X+2 3 2 0 X+3 1 1 X 2 2 1 0 3 1 0 1 1 X+2 X 1 X+3 X+3 X+2 1 X+2 X+3 0 1 X+2 X+2 2 X+3 X+1 X+1 X+3 1 0 2 3 X 3 1 3 X 1 0 1 1 2 3 0 0 X+1 X 2 X+2 X+1 X+3 X+3 X+1 2 2 1 X+3 X 1 X+2 2 X+3 0 1 X+1 X X+2 0 2 X 0 0 0 0 1 X+1 1 X X+3 0 2 0 X+3 X+3 X+1 3 0 1 X 0 X+3 1 X+3 X+2 1 3 X 1 X+2 X+3 3 0 X+1 X X+2 X 2 X+1 1 X+3 3 0 X+1 2 1 X X 2 1 0 X+2 1 2 1 0 X X+1 1 X X 3 X+3 0 X+2 X+1 X X+3 X+1 1 1 3 1 X 1 3 X+1 2 X 1 X 1 X+1 1 X+3 X+3 3 X X+3 0 0 0 0 2 0 2 2 2 2 0 0 2 0 2 0 2 2 2 0 0 2 2 0 0 2 2 0 0 2 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 2 2 2 0 2 0 0 2 0 2 2 0 0 2 2 2 2 2 0 2 0 0 0 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 0 0 0 2 0 2 2 0 2 2 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 0 0 0 0 2 2 0 0 0 2 0 2 2 0 0 2 2 2 2 2 0 0 0 2 2 2 0 2 2 2 2 2 2 2 2 2 0 0 0 0 2 0 2 0 0 2 generates a code of length 87 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+160x^78+402x^79+673x^80+774x^81+1070x^82+1026x^83+1293x^84+1206x^85+1301x^86+1182x^87+1234x^88+1030x^89+1140x^90+860x^91+928x^92+672x^93+551x^94+324x^95+194x^96+144x^97+119x^98+34x^99+27x^100+14x^101+8x^102+8x^103+2x^104+3x^106+4x^107 The gray image is a code over GF(2) with n=348, k=14 and d=156. This code was found by Heurico 1.16 in 16.1 seconds.