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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+156x^66+415x^68+88x^69+558x^70+156x^71+828x^72+696x^73+1740x^74+2120x^75+3090x^76+2116x^77+1640x^78+748x^79+750x^80+160x^81+466x^82+48x^83+276x^84+12x^85+142x^86+93x^88+58x^90+18x^92+8x^94+1x^108

The gray image is a code over GF(2) with n=608, k=14 and d=264.
This code was found by Heurico 1.16 in 9.37 seconds.