The generator matrix 1 0 0 0 1 1 1 1 0 1 1 1 2 2 2 0 1 2 1 0 1 1 2 1 0 2 1 0 0 1 0 2 1 0 2 0 0 1 1 2 1 1 2 1 0 1 2 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 0 0 3 1 2 1 1 2 1 2 3 0 0 2 1 1 1 1 1 2 2 3 2 2 3 3 1 0 1 1 1 2 2 3 3 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 2 1 0 0 1 0 2 0 3 1 2 0 1 2 3 3 0 3 0 0 1 0 2 0 2 0 1 3 3 2 1 0 3 3 0 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 0 1 3 0 0 2 1 3 2 3 0 3 1 3 3 2 1 3 1 1 0 2 1 0 1 3 0 3 3 0 0 1 1 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 0 0 2 2 0 2 0 2 0 0 2 0 0 2 2 0 0 2 2 0 0 2 2 2 0 0 2 2 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 0 2 2 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 2 2 0 2 0 0 2 0 2 0 0 0 2 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 2 0 0 2 2 0 0 2 2 2 0 2 0 2 2 2 0 2 0 2 2 0 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 0 0 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 0 2 2 0 0 2 2 0 2 2 2 0 2 2 0 2 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 68 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+31x^40+26x^41+58x^42+56x^43+142x^44+154x^45+202x^46+294x^47+307x^48+380x^49+464x^50+524x^51+563x^52+612x^53+645x^54+674x^55+618x^56+728x^57+653x^58+676x^59+690x^60+692x^61+796x^62+918x^63+1050x^64+1148x^65+1243x^66+1262x^67+1379x^68+1330x^69+1348x^70+1178x^71+1039x^72+950x^73+816x^74+718x^75+691x^76+630x^77+610x^78+682x^79+632x^80+650x^81+608x^82+664x^83+593x^84+566x^85+490x^86+384x^87+312x^88+268x^89+186x^90+130x^91+111x^92+48x^93+50x^94+30x^95+24x^96+10x^97+19x^98+2x^99+7x^100+3x^102+2x^104+1x^106 The gray image is a code over GF(2) with n=136, k=15 and d=40. This code was found by Heurico 1.16 in 98.4 seconds.