Prime p₀= 2117735650267457201 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Ben
db: batch=80, k=10, 2 34 2 40 2

STPT(10)	2117733199925520167	0 2 12 14 72 74 132 134 144 146	-2450341937034
STPT(10)	2117733381110338877	0 2 54 56 72 74 90 92 144 146	-2269157118324
STPT(10)	2117733458737747811	0 2 36 38 78 80 120 122 156 158	-2191529709390
TPT(14)	2117734036992483821	0 2 18 20 30 32 36 38 168 170 216 218 240 242	-1613274973380
STPT(10)	2117734593396296141	0 2 36 38 78 80 120 122 156 158	-1056871161060
STPT(10)	2117735013574673327	0 2 42 44 102 104 162 164 204 206	-636692783874
STPT(10)	2117735949947046431	0 2 30 32 60 62 90 92 120 122	299679589230
SPT(16)	2117735983102987501	0 18 28 30 42 48 90 108 112 130 172 178 190 192 202 220	332835530300
SPT(16)	2117736004976327291	0 30 78 92 108 132 216 230 408 422 506 530 546 560 608 638	354708870090
SPT(16)	2117736393161795243	0 68 80 90 110 126 138 230 294 386 398 414 434 444 456 524	742894338042
SPT(16)	2117736447899526847	0 46 60 84 100 120 144 214 222 292 316 336 352 376 390 436	797632069646