The generator matrix 1 0 0 0 0 1 1 1 0 1 1 1 0 1 2 1 1 2 0 1 1 0 0 2 1 1 1 1 0 1 1 1 1 2 2 0 0 1 0 1 1 2 0 0 0 2 1 1 1 2 0 1 1 1 0 1 0 0 0 0 0 0 0 1 3 1 1 1 1 1 2 1 1 0 1 2 1 2 1 2 3 3 0 3 2 2 1 0 2 0 0 3 2 3 2 1 1 2 0 1 1 2 0 0 1 2 0 0 0 0 1 0 0 0 1 1 1 1 1 1 3 0 0 1 3 1 1 3 2 1 3 1 0 0 2 2 2 2 3 0 1 0 2 0 1 3 1 0 1 2 1 1 1 0 0 3 2 2 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 1 0 2 1 1 3 3 2 0 1 3 3 0 3 3 0 1 1 2 3 3 1 2 1 2 0 0 0 1 3 3 3 3 3 0 3 0 0 2 1 2 0 0 0 0 0 0 1 1 0 1 1 0 1 1 2 1 3 2 3 3 3 2 0 0 0 3 1 0 2 2 1 1 3 2 3 1 3 1 2 2 1 3 2 0 3 2 3 3 1 2 1 1 0 1 0 0 0 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 0 0 0 2 0 2 0 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 0 2 0 0 0 0 2 0 0 2 2 2 2 0 0 2 0 2 2 0 2 0 2 2 0 2 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 2 0 2 0 2 2 2 0 0 2 2 0 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 0 0 2 2 2 0 2 2 0 2 2 0 2 2 2 0 2 0 0 0 0 0 2 0 2 0 0 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 2 2 0 0 0 2 2 2 0 0 0 0 0 2 0 2 0 2 0 2 2 2 2 0 2 0 0 2 0 0 2 2 0 0 0 generates a code of length 54 over Z4 who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+14x^39+61x^40+90x^41+246x^42+348x^43+486x^44+656x^45+878x^46+1056x^47+1279x^48+1484x^49+1774x^50+2034x^51+2216x^52+2384x^53+2388x^54+2470x^55+2256x^56+2232x^57+1904x^58+1608x^59+1392x^60+1064x^61+806x^62+540x^63+391x^64+252x^65+166x^66+106x^67+96x^68+24x^69+24x^70+16x^71+11x^72+6x^73+6x^74+2x^76+1x^80 The gray image is a code over GF(2) with n=108, k=15 and d=39. This code was found by Heurico 1.16 in 96.7 seconds.