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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 2 X X^2 X 2 X X^2 X 0 X 2 X X^2+2 X X^2 X X^2+2 X 0 0 X X^2+2 X 0 2 X X X^2 2 X^2+2 0 X 0 X^2+X X^2 X^2+X+2 X^2+2 X 0 X^2+X 0 X^2+X+2 X^2 X X^2+2 X 0 X^2+X 0 X^2+X+2 X^2 X X^2+2 X 0 X^2+X 0 X^2+X+2 X^2 X X^2+2 X 2 X^2+X+2 2 X^2+X X^2+2 X+2 X^2 X+2 2 X^2+X+2 2 X^2+X X^2+2 X+2 X^2 X+2 2 X^2+X+2 X^2 X+2 2 X^2+X X^2+2 X+2 2 X^2+X+2 X^2 X+2 2 X^2+X X^2+2 X+2 X^2+X X X+2 X X^2+X X X+2 X X^2+X+2 X X^2+X X X X X+2 X X^2+X X X^2+X+2 0 X X X X X X X^2+X+2 X^2+X+2 X X X 0 0 X^2+2 0 X^2+2 X^2 0 X^2 2 2 X^2 X^2+2 X^2 X^2+2 2 2 0 0 X^2+2 X^2 X^2 X^2+2 2 2 2 2 X^2 X^2+2 X^2+2 X^2 0 0 2 2 X^2 X^2+2 X^2+2 X^2 0 0 0 0 X^2+2 X^2 X^2 X^2+2 2 2 2 2 2 2 X^2 X^2+2 X^2 X^2+2 0 0 0 0 X^2+2 X^2 X^2+2 X^2 0 X^2 0 X^2+2 2 X^2+2 2 X^2 X^2 0 X^2+2 2 X^2 0 X^2+2 2 0 0 X^2 X^2 0 X^2 2 X^2+2 2 X^2 X^2+2 0 X^2 0 X^2+2 0 0 0 2 2 0 2 2 0 2 0 0 2 2 2 0 2 0 2 2 0 0 0 2 2 0 2 2 0 0 0 2 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0 0 2 2 0 0 2 2 0 0 0 0 2 2 2 2 2 0 2 2 2 0 0 0 2 2 2 2 0 0 0 generates a code of length 95 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+146x^92+64x^93+288x^94+128x^95+198x^96+64x^97+64x^98+68x^100+2x^124+1x^128 The gray image is a code over GF(2) with n=760, k=10 and d=368. This code was found by Heurico 1.16 in 1.44 seconds.