The generator matrix 1 0 0 1 1 1 X+2 1 2 1 1 X 1 2 1 X+2 1 1 X+2 1 0 X+2 2 X+2 1 1 1 1 1 1 1 X 2 1 1 0 X+2 1 2 2 1 1 1 X+2 1 1 1 X+2 X 1 1 2 X 0 1 1 1 1 1 X X 1 X+2 2 1 X X+2 X+2 0 1 0 1 1 1 0 X+2 1 1 2 2 0 1 1 1 X+2 X X+2 2 1 1 0 1 0 1 0 0 1 X+3 1 3 1 X X+1 1 X 2 X 1 X+3 X+2 1 1 X+2 1 1 X+2 X 3 0 1 0 X+3 X+2 0 1 X+1 X+3 1 1 2 1 2 3 0 X+3 X+2 1 0 2 X 1 3 1 1 1 1 3 X 1 0 2 1 1 3 1 X+2 X+3 1 1 1 1 0 1 X X+3 0 1 1 0 2 1 1 2 3 3 X+2 1 1 1 X+2 X+3 X+2 1 2 0 0 1 1 1 0 1 X X+1 X+3 1 X+2 X 1 X+3 3 3 X+2 2 X 1 X+2 1 1 1 X+1 2 0 2 X+3 1 1 0 X+2 2 X+2 3 2 X+1 1 3 X+1 2 1 X+1 X X+1 1 X+2 X+1 X+2 X+2 X+1 2 2 2 X+1 X+2 X+1 2 X+1 X+2 X+2 1 X+2 X+2 X+3 X+3 X X+3 X+3 1 X+1 2 X X 3 X+2 1 1 1 2 2 X+1 X+1 0 X+2 1 X X 1 0 0 0 0 X 0 0 2 0 2 X 2 2 0 X+2 0 X X+2 X+2 X+2 X 2 X+2 X X 0 X+2 X X+2 X+2 0 2 X+2 X X 0 X+2 0 2 X+2 X 0 0 X 0 X 2 X X+2 X X+2 X+2 2 X 2 2 0 0 X+2 0 X X X+2 2 X 2 X 2 X+2 2 0 X X 2 X X+2 X+2 X+2 2 0 2 2 X+2 0 2 0 2 X+2 2 0 X X+2 0 0 0 0 0 X X+2 X+2 X+2 X 0 X 2 2 0 0 X+2 X 2 0 X+2 0 0 X 2 2 X 2 2 X+2 0 X+2 X+2 2 X+2 0 X+2 2 X 2 X 0 X 2 X X 0 0 X+2 X 0 X 2 X+2 X 2 X 2 X+2 X 0 2 2 2 0 X+2 X+2 0 X+2 X 2 0 X+2 2 0 0 X 0 X X 0 2 2 X+2 0 X+2 X+2 2 X+2 X+2 2 0 X+2 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 0 2 0 0 2 0 2 0 0 0 2 2 0 2 2 0 2 0 0 2 0 2 0 0 0 2 0 2 0 0 2 2 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 2 0 0 0 0 2 0 0 2 2 2 0 2 0 2 generates a code of length 92 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+62x^82+254x^83+339x^84+764x^85+681x^86+1006x^87+972x^88+1276x^89+1125x^90+1432x^91+1098x^92+1416x^93+980x^94+1118x^95+840x^96+942x^97+579x^98+600x^99+245x^100+230x^101+133x^102+112x^103+64x^104+38x^105+15x^106+18x^107+22x^108+6x^109+6x^110+4x^111+3x^112+3x^114 The gray image is a code over GF(2) with n=368, k=14 and d=164. This code was found by Heurico 1.16 in 20.4 seconds.