Prime p₀= 1257831944938793867 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: mikey
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1257830947460260297	0 10 24 34 54 64 106 216 460 570 612 622 642 652 666 676	-997478533570
STPT(10)	1257831054062617007	0 2 30 32 42 44 54 56 84 86	-890876176860
SPT(16)	1257831300742462261	0 12 60 78 90 102 132 162 186 216 246 258 270 288 336 348	-644196331606
SPT(16)	1257831322605394799	0 8 20 38 42 54 120 132 170 182 248 260 264 282 294 302	-622333399068
STPT(10)	1257831328986333929	0 2 18 20 60 62 102 104 120 122	-615952459938
SPT(16)	1257831943672769639	0 14 18 30 72 80 84 98 114 128 132 140 182 194 198 212	-1266024228
STPT(10)	1257832156570224419	0 2 30 32 60 62 90 92 120 122	211631430552
TPT(14)	1257832312307066807	0 2 24 26 120 122 132 134 150 152 180 182 234 236	367368272940
SPT(16)	1257832544373968929	0 58 120 142 144 168 172 204 238 270 274 298 300 322 384 442	599435175062
STPT(10)	1257832932363543869	0 2 48 50 90 92 132 134 180 182	987424750002
SPT(16)	1257833056266199541	0 60 62 116 140 146 150 156 176 182 186 192 216 270 272 332	1111327405674