Prime p₀= 2451514005098160617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2451512528951078777	0 2 32 44 90 92 140 186 200 246 294 296 342 354 384 386	-1476147081840
SPT(16)	2451512643413612453	0 8 20 44 80 98 114 120 134 140 156 174 210 234 246 254	-1361684548164
STPT(10)	2451512960657095001	0 2 6 8 18 20 30 32 36 38	-1044441065616
STPT(10)	2451513303390433937	0 2 12 14 72 74 132 134 144 146	-701707726680
SPT(16)	2451513375444729473	0 8 20 66 78 86 96 128 258 290 300 308 320 366 378 386	-629653431144
SPT(16)	2451513384842179727	0 14 42 54 90 116 164 182 234 252 300 326 362 374 402 416	-620255980890
STPT(10)	2451514104595449347	0 2 24 26 42 44 60 62 84 86	99497288730
SPT(16)	2451514285374667759	0 10 12 54 72 88 108 114 208 214 234 250 268 310 312 322	280276507142
SPT(16)	2451514381470594347	0 14 24 50 102 110 120 140 204 224 234 242 294 320 330 344	376372433730
SPT(16)	2451514765701959561	0 2 36 86 90 108 116 120 128 132 140 158 162 212 246 248	760603798944
SPT(18)	2451515077038988393	0 10 66 96 130 136 160 184 186 208 210 234 258 264 298 328 384 394	1071940827776