Prime p₀= 1117643759437169579 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Theadalus
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1117643189286204947	0 14 36 62 72 86 120 126 170 176 210 224 234 260 282 296	-570150964632
SPT(16)	1117643282605262027	0 2 30 42 80 84 110 116 150 156 182 186 224 236 264 266	-476831907552
SPT(16)	1117643293100282227	0 60 70 112 114 142 144 196 270 322 324 352 354 396 406 466	-466336887352
STPT(10)	1117643309107071137	0 2 30 32 42 44 54 56 84 86	-450330098442
STPT(10)	1117643421089180771	0 2 36 38 78 80 120 122 156 158	-338347988808
SPT(16)	1117643586957992099	0 12 14 80 84 102 140 144 158 162 200 218 222 288 290 302	-172479177480
SPT(16)	1117643793163781539	0 12 78 112 120 168 174 190 192 208 214 262 270 304 370 382	33726611960
SPT(16)	1117643973152567527	0 16 24 34 76 94 102 130 156 184 192 210 252 262 270 286	213715397948
STPT(10)	1117644329519342501	0 2 30 32 60 62 90 92 120 122	570082172922
STPT(10)	1117644336570283409	0 2 18 20 30 32 42 44 60 62	577133113830
STPT(12)	1117644701646442049	0 2 12 14 42 44 90 92 120 122 132 134	942209272470