The generator matrix 1 0 1 1 1 X+2 1 1 X+2 1 1 0 1 1 X X+2 1 1 0 1 1 2 1 1 1 1 X+2 0 1 1 X 1 X+2 1 1 1 1 X X+2 1 1 1 X+2 0 1 2 1 0 X+2 1 1 1 1 1 X 1 1 1 1 1 X 1 1 1 2 1 0 1 0 1 X+2 1 1 1 1 2 1 1 0 0 1 1 0 1 1 1 1 2 X+2 1 1 X+2 1 1 0 1 1 0 1 1 0 X+3 1 2 X+3 1 X 1 1 X X+1 1 1 1 X+2 1 3 X+2 1 X+3 0 3 X 1 1 X+3 X 1 2 1 X+3 2 3 X 1 1 X+1 1 X 1 1 3 1 X+3 1 1 1 X 1 X+3 3 1 1 1 X+2 2 X+1 X X+3 X 2 1 X+2 1 X 1 0 1 X+2 X+3 X+3 X+1 1 X+1 2 1 1 3 X+2 1 X+2 2 X+1 X 1 1 2 0 1 X 1 1 X+2 X+1 0 0 X 0 X+2 0 X 2 X 2 0 X+2 X 2 0 X+2 X X 0 2 0 X+2 X X+2 2 X X+2 X 0 X 0 0 2 X X+2 2 0 0 0 0 2 0 X X+2 X+2 2 2 2 X+2 X X+2 X 0 X X X+2 2 X+2 X X X 0 2 X+2 2 X X+2 X X+2 2 0 X X+2 X X+2 X X X+2 X+2 X+2 X+2 0 0 0 X 2 2 0 X X X X+2 2 X+2 2 0 X 0 0 0 X 0 0 0 X X X+2 X+2 X 2 0 X+2 2 X+2 X X 2 0 2 X+2 X+2 X 2 X 2 X X+2 X X 0 2 0 2 X+2 2 X+2 0 X+2 2 X 0 X+2 X X X 0 X X 0 0 X+2 2 2 2 2 2 X+2 X+2 2 X+2 X+2 2 X+2 X+2 X+2 X+2 0 0 0 2 X 0 0 0 X+2 X X X+2 X X+2 0 0 X 0 0 2 0 X 2 2 X 0 X X+2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 2 0 0 2 0 2 2 0 0 0 0 2 0 2 2 0 2 2 2 2 2 0 2 2 0 2 0 0 2 2 0 0 0 0 0 0 2 2 2 0 2 0 2 0 0 2 0 2 0 0 2 2 2 2 2 2 0 0 2 0 0 0 2 0 2 2 0 0 2 2 2 0 0 2 0 0 2 2 0 0 0 0 2 0 2 2 0 2 2 0 0 2 2 2 2 0 2 0 2 0 0 0 2 2 2 2 0 0 0 0 2 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 generates a code of length 97 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+78x^89+190x^90+200x^91+356x^92+240x^93+381x^94+218x^95+366x^96+202x^97+401x^98+170x^99+384x^100+170x^101+267x^102+120x^103+150x^104+64x^105+31x^106+28x^107+12x^108+6x^109+8x^110+22x^111+4x^112+8x^113+2x^114+10x^115+4x^116+3x^128 The gray image is a code over GF(2) with n=388, k=12 and d=178. This code was found by Heurico 1.16 in 2.06 seconds.