Prime p₀= 2774876829719405069 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 136 2 40 2 40 2 136 2 (?)
a_n: 0 2 138 140 180 182 222 224 360 362
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: 362
Found by: JayPi
db: batch=82, k=10, 2 136 2 40 2

SPT(16)	2774875363577872273	0 34 88 118 124 190 234 244 264 274 318 384 390 420 474 508	-1466141532796
SPT(16)	2774876130960598237	0 4 30 40 42 52 72 96 100 124 144 154 156 166 192 196	-698758806832
SPT(16)	2774876160024134311	0 10 18 70 82 136 138 150 208 220 222 276 288 340 348 358	-669695270758
STPT(10)	2774876226140791649	0 2 30 32 60 62 90 92 120 122	-603578613420
STPT(10)	2774876513735636279	0 2 48 50 90 92 132 134 180 182	-315983768790
SPT(16)	2774876734034296967	0 56 62 84 92 96 152 162 164 174 230 234 242 264 270 326	-95685108102
SPT(16)	2774877201010720469	0 2 14 20 30 174 188 224 228 264 278 422 432 438 450 452	371291315400
SPT(16)	2774877257645471767	0 10 12 40 52 66 112 150 346 384 430 444 456 484 486 496	427926066698
STPT(10)	2774877844305640259	0 2 18 20 30 32 42 44 60 62	1014586235190
SPT(18)	2774877988003018819	0 10 12 54 60 132 148 154 174 208 228 234 250 322 328 370 372 382	1158283613750
STPT(10)	2774878014589227647	0 2 60 62 72 74 84 86 144 146	1184869822578