The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 2 1 2 0 2 1 2 2 1 2 2 2 1 1 0 2 1 2 1 1 0 1 1 1 2 2 1 1 0 1 0 0 0 0 0 0 0 1 1 3 0 1 1 1 2 3 2 2 3 0 0 1 2 3 2 1 3 1 0 1 1 3 0 2 0 2 3 0 0 0 1 0 0 0 0 0 0 0 1 3 1 3 1 2 1 1 2 2 0 1 1 3 1 3 0 2 2 3 1 0 0 2 0 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 3 3 3 3 1 1 1 1 0 2 0 2 0 3 3 1 2 0 2 3 1 2 3 2 1 0 2 1 0 0 0 0 0 1 0 1 1 0 1 2 3 3 3 1 0 0 2 0 1 0 3 3 3 3 0 1 2 2 1 2 0 3 0 1 0 1 3 3 0 0 0 0 0 0 1 1 0 1 1 2 1 1 2 2 2 3 2 3 3 1 3 2 3 2 3 1 1 2 2 0 0 3 3 3 3 0 2 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 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 0 2 0 0 0 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 generates a code of length 40 over Z4 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+94x^28+144x^29+412x^30+412x^31+789x^32+908x^33+1211x^34+1488x^35+1812x^36+2342x^37+2445x^38+2844x^39+2690x^40+2870x^41+2559x^42+2460x^43+2012x^44+1536x^45+1231x^46+880x^47+666x^48+364x^49+293x^50+100x^51+112x^52+26x^53+39x^54+8x^55+14x^56+2x^57+1x^58+2x^60+1x^62 The gray image is a code over GF(2) with n=80, k=15 and d=28. This code was found by Heurico 1.16 in 62.3 seconds.