The generator matrix 1 0 0 1 1 1 X 1 X+2 1 1 2 X+2 1 1 1 1 2 2 0 1 X 1 1 1 X 2 1 1 X 1 X+2 1 X+2 1 1 2 1 2 1 1 2 2 X 1 X X X 2 1 1 1 1 X 1 X 1 1 0 X 1 1 1 2 1 1 1 2 0 2 X+2 1 1 1 1 1 X 1 2 X X+2 1 1 X 0 X 1 2 1 2 0 0 1 0 0 1 X+3 1 3 0 2 2 1 1 X+1 X X+1 X 1 1 X+2 3 1 X+2 3 1 X+2 1 X 2 1 X+3 1 X X+2 X+2 2 1 3 1 X+1 X+1 0 1 2 X+3 1 1 1 2 2 2 X X+3 1 1 X 0 X+2 1 1 X+2 3 X 0 0 X+1 X+2 1 1 1 1 1 X+1 3 0 X 1 X 2 1 1 0 2 1 0 1 X+3 1 1 0 0 0 0 1 1 X+1 0 1 3 1 2 X+1 3 0 X+2 X X+3 X+1 X+3 X 1 2 X 2 X 3 1 1 X+1 X+2 X+1 1 2 3 1 0 1 X+3 X+2 0 0 X+1 1 1 1 X+3 3 X 2 1 X+1 1 2 X X+1 2 1 X 0 0 X+3 3 2 X+1 1 X+2 3 3 2 X 3 1 2 X 1 2 2 X X+1 1 X+2 3 0 X+3 X 1 X 1 X+1 X 1 1 0 0 0 X X X+2 2 X 2 X+2 X 2 0 X X X+2 X+2 2 0 0 X 2 X+2 X X+2 0 2 X X+2 0 X 0 X+2 0 2 2 X 2 X+2 2 0 X X+2 X 2 X+2 X+2 X+2 X 2 0 0 0 X 0 X 0 X+2 X 2 X X 2 X 2 0 0 0 2 X+2 2 2 2 2 X X+2 0 2 X 2 X+2 X+2 X X+2 X X+2 X+2 X+2 2 X+2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 0 0 0 2 2 0 2 0 2 2 0 0 2 2 0 0 0 2 0 0 2 2 2 2 2 0 0 2 0 2 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 0 2 0 2 2 2 0 0 0 2 2 0 0 2 2 2 2 0 0 2 2 0 0 2 0 2 2 2 2 0 2 0 2 0 0 2 2 0 0 2 2 0 2 0 2 2 2 2 0 2 2 0 2 0 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 2 0 0 2 generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 83. Homogenous weight enumerator: w(x)=1x^0+136x^83+327x^84+436x^85+607x^86+628x^87+643x^88+676x^89+624x^90+622x^91+567x^92+590x^93+504x^94+408x^95+359x^96+268x^97+239x^98+206x^99+115x^100+54x^101+62x^102+40x^103+29x^104+20x^105+5x^106+8x^107+7x^108+4x^109+7x^110 The gray image is a code over GF(2) with n=364, k=13 and d=166. This code was found by Heurico 1.16 in 68.2 seconds.