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 X X 2 1 X 2 1 2 0 1 0 1 X 1 1 X 1 1 X 1 1 X X 1 1 1 0 1 X 2 1 2 X 1 1 X 0 0 1 1 1 X 1 1 X 0 1 X 0 X 0 0 0 0 0 0 0 X+2 X X X X X+2 X+2 X 2 X 0 X 2 0 X+2 X 2 2 X 2 2 X X 2 X+2 X+2 X X X 0 2 0 X+2 X+2 X+2 X X+2 X X 2 2 X 2 X X 2 X 2 X+2 2 X X+2 X+2 0 X+2 X+2 2 2 X+2 X 2 X X 0 X X 2 X+2 X+2 2 0 2 X+2 0 0 0 X+2 X 0 2 X 0 0 X 0 0 0 X X+2 X 2 X X+2 0 0 X X+2 2 2 2 X 2 X 2 X X+2 X+2 0 X 0 X X 0 2 X 2 X+2 2 2 X+2 2 X X+2 X+2 X+2 0 X X X+2 X 2 X X+2 X X X+2 0 2 2 2 0 X X+2 0 0 X X+2 X X 2 X+2 X X+2 0 X X+2 X+2 X 0 0 X 0 2 X+2 X+2 X+2 X X X X 2 0 0 0 X 0 X X X 0 X+2 2 X X+2 0 0 X+2 X+2 X+2 X X+2 0 2 2 X 0 0 X 0 0 X X 0 2 X+2 0 X 0 X 2 X X+2 2 2 0 X 2 2 2 0 X X X+2 X+2 2 X+2 2 X+2 2 X+2 2 X X+2 0 2 2 2 X+2 X+2 2 X 0 X+2 2 0 0 0 X+2 2 X X+2 0 X+2 0 0 X+2 X 2 0 2 2 0 0 0 0 X X 0 X X+2 X 0 X 2 X+2 X 2 2 0 X+2 X 2 0 2 X 0 X X X X+2 2 0 X+2 2 0 0 X+2 X X+2 2 X+2 X 0 X X+2 2 0 2 0 0 X 2 X X+2 X+2 2 2 X X+2 0 X 2 X+2 X 0 0 X+2 0 2 X 0 X+2 0 X+2 X 0 X+2 X X+2 2 X X X 0 X+2 X 2 0 X 2 X+2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 0 2 0 2 0 2 2 0 2 0 2 2 2 2 0 2 2 0 2 2 0 0 2 2 2 0 0 2 2 0 0 0 2 2 0 2 2 2 0 0 2 2 0 2 2 0 2 0 0 0 2 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 2 0 2 0 0 2 0 0 2 0 0 0 2 0 2 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 2 0 2 0 2 2 0 0 generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+64x^79+122x^80+174x^81+268x^82+280x^83+347x^84+420x^85+442x^86+562x^87+530x^88+624x^89+698x^90+588x^91+644x^92+516x^93+410x^94+374x^95+271x^96+210x^97+157x^98+128x^99+89x^100+72x^101+48x^102+38x^103+36x^104+32x^105+20x^106+12x^107+8x^108+4x^110+2x^111+1x^130 The gray image is a code over GF(2) with n=360, k=13 and d=158. This code was found by Heurico 1.16 in 8.96 seconds.