The generator matrix 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 generates a code of length 16 over Z4 who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+90x^4+192x^6+1167x^8+1356x^10+2628x^12+2048x^13+1756x^14+6144x^15+1839x^16+6144x^17+2328x^18+2048x^19+1770x^20+2136x^22+673x^24+412x^26+24x^28+12x^30 The gray image is a code over GF(2) with n=32, k=15 and d=4. This code was found by Heurico 1.16 in 1.68 seconds.