The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 X 0 X X 1 0 2 1 1 1 0 X 1 X 1 1 1 1 X 1 1 2 X 2 X 2 1 1 1 0 1 0 1 1 X 1 1 1 X 1 2 X X 1 1 1 1 X 1 1 1 0 X 0 0 0 0 0 0 2 2 X X+2 X 0 0 2 X+2 X+2 X X X X 0 X X+2 X 0 X X+2 2 X+2 2 2 X+2 X 0 0 X 2 0 X X 2 2 X X+2 2 X X X+2 2 X 0 X 2 0 0 X X+2 0 0 X+2 X+2 2 0 2 0 X X X+2 2 2 X X 0 0 0 X 2 X+2 X X+2 2 X+2 0 X+2 X X 2 0 X+2 2 0 0 0 X 0 0 0 0 0 0 0 0 0 2 X+2 X+2 X+2 X X+2 X+2 X 2 2 X+2 X+2 0 0 X X X X+2 X+2 X+2 2 2 X+2 X X 2 2 X 0 2 2 0 X 0 X X X+2 0 0 X X X+2 2 2 X+2 X+2 X+2 X+2 X+2 2 X+2 2 X+2 X X+2 0 0 X X+2 2 2 X+2 0 X+2 X+2 X 2 0 2 X+2 X X X X X X X 0 0 0 X 0 0 0 X 0 0 2 X+2 X X X X 2 X+2 X 2 2 0 2 2 2 2 2 X X+2 X 2 X X+2 X+2 X X+2 0 2 0 0 0 X+2 X+2 X 0 X+2 X X 2 X X+2 X+2 X X 2 X+2 2 X 2 X 0 X+2 X+2 2 X+2 2 2 X X 2 0 X+2 2 X X+2 0 X 0 X+2 0 X+2 X+2 X+2 X+2 0 X X+2 2 X X+2 X+2 X X+2 X+2 X X+2 X 0 0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 0 X X 0 2 X 0 X+2 X+2 X X+2 X 2 2 X 2 2 0 X+2 2 0 X+2 X X+2 2 0 X+2 X X X+2 2 0 0 0 0 0 0 0 X+2 2 0 X X+2 X+2 2 0 X+2 X X X+2 X X+2 2 2 X+2 X 0 X+2 X X 0 2 X+2 X+2 2 X X+2 0 X+2 X+2 X+2 2 0 0 0 X X+2 X+2 2 2 2 0 0 0 0 0 X X 2 X+2 X X+2 2 X X 0 X 0 X+2 X+2 0 X 2 2 X+2 2 X X+2 X+2 2 X 2 2 X+2 0 X X+2 0 0 0 X X+2 X+2 X 2 2 X+2 X X+2 X X X+2 X+2 0 X 0 X+2 X+2 X+2 X X 0 X 2 2 X+2 X 2 X X X 0 X 0 0 X+2 0 0 2 X+2 0 X X X+2 X 2 2 X X X+2 X+2 X+2 0 X+2 generates a code of length 93 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+68x^82+122x^83+188x^84+240x^85+275x^86+366x^87+394x^88+492x^89+540x^90+542x^91+625x^92+678x^93+645x^94+604x^95+497x^96+408x^97+375x^98+274x^99+224x^100+150x^101+98x^102+86x^103+72x^104+58x^105+52x^106+46x^107+13x^108+20x^109+22x^110+8x^111+2x^113+4x^114+2x^116+1x^138 The gray image is a code over GF(2) with n=372, k=13 and d=164. This code was found by Heurico 1.16 in 9.17 seconds.