Prime p₀= 1524528824090239397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 266
Found by: crashtech
db: batch=78, k=10, 2 82 2 46 2

SPT(16)	1524527622599638417	0 34 40 112 124 166 172 186 190 204 210 252 264 336 342 376	-1201490600980
STPT(10)	1524527926415056007	0 2 30 32 42 44 54 56 84 86	-897675183390
SPT(16)	1524528402337622009	0 14 32 38 54 60 74 104 108 138 152 158 174 180 198 212	-421752617388
STPT(10)	1524528492267414077	0 2 12 14 132 134 252 254 264 266	-331822825320
SPT(16)	1524528568391367923	0 24 60 126 138 140 146 168 206 228 234 236 248 314 350 374	-255698871474
SPT(16)	1524528645537004589	0 42 48 60 80 144 152 192 230 270 278 342 362 374 380 422	-178553234808
SPT(16)	1524528919107193939	0 24 34 52 58 64 90 114 238 262 288 294 300 318 328 352	95016954542
SPT(16)	1524528927426179237	0 2 24 30 44 54 110 150 194 234 290 300 314 320 342 344	103335939840
STPT(10)	1524529035611555789	0 2 12 14 30 32 48 50 60 62	211521316392
SPT(16)	1524529047492222461	0 2 20 48 56 60 62 86 132 156 158 162 170 198 216 218	223401983064
TPT(14)	1524529278022690127	0 2 102 104 114 116 180 182 210 212 222 224 240 242	453932450730