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  2  2  1  1  2  1  1  4  1  1  1  2  1  1  4  4  1  1  1  2  1  1  1  4  1  2  2  1  4  2  2  1  2  1  1  2  4  2  2  2
 0 12  0  0  0  4 12  4  8  0  4  0  8  4  4  4  4  8  8  0  0  4  4  0 12  8  0  4  8 12 12 12 12  0  4 12  4  4  4 12  8  4  0  0  4  8  4  4 12  4  0  8  0 12  4  4 12  4 12 12  4 12  4  0  0  8 12  0 12  4  8  0 12  4
 0  0 12  0  4  4 12  0  0  4  8  0 12 12  8  4  4  0  8 12 12  4  8  8  0  4  4  4  0  0  4  0  0  8  4 12  0 12  8  8 12  4  0  0  8  4  4  8  4  8  4  8  4  0 12  0  0  8  4  0  8  0 12  4 12  8  0 12 12 12  4 12 12  8
 0  0  0 12  4  0 12  4  4  8  0  8  4  4  4  8  8  4  0  0  4  4 12  8 12  8  4 12 12  0  0  8  0  4  0 12  0  8  4  0  8  0 12  8 12  0 12 12 12  4  8  4  4  8  0  4  4  4  4  0 12 12  0 12 12  8 12  8  8  4  8  0 12  4
 0  0  0  0  8  0  0  8  0  8  8  0  0  0  0  8  0  0  0  0  8  0  8  8  8  0  8  8  8  8  0  0  0  0  8  8  8  8  8  0  8  8  8  8  0  8  8  0  8  8  0  8  0  0  8  8  0  0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  0  0
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  8  8  8  0  8  0  0  0  0  8  8  0  8  0  0  8  0  8  8  8  8  8  8  0  0  8  8  8  8  8  0  8  0  8  0  0  8  0  8  8  0  8  0  0  0  8  0  0  8  8  0  0  8  8  0  0  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  0  0  0  0  8  8  8  0  0  0  8  8  0  0  0  0  8  8  0  8  8  8  8  8  8  8  8  8  0  0  8  0  8  0  0  0  0  0  8  0  0  8  0  0  0  8  8  8  8  0  0  8  0  8  8  0  8  8  0  0

generates a code of length 74 over Z16 who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+70x^65+100x^66+160x^67+176x^68+236x^69+305x^70+588x^71+698x^72+1010x^73+1612x^74+1036x^75+692x^76+586x^77+260x^78+186x^79+111x^80+108x^81+62x^82+58x^83+32x^84+34x^85+27x^86+18x^87+14x^88+4x^89+2x^90+2x^91+3x^92+1x^108

The gray image is a code over GF(2) with n=592, k=13 and d=260.
This code was found by Heurico 1.16 in 2.41 seconds.