Prime p₀= 2561153288908673057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	2561151351669740041	0 16 58 60 76 148 156 168 220 232 240 312 328 330 372 388	-1937238933016
TPT(14)	2561151378924178457	0 2 102 104 132 134 180 182 240 242 282 284 534 536	-1909984494600
SPT(16)	2561152210139108549	0 14 20 32 38 42 78 108 134 164 200 204 210 222 228 242	-1078769564508
STPT(10)	2561152603416523559	0 2 42 44 60 62 78 80 120 122	-685492149498
SPT(16)	2561152915719302617	0 4 34 42 60 100 130 160 234 264 294 334 352 360 390 394	-373189370440
SPT(16)	2561153105539156057	0 4 30 46 52 72 102 112 114 124 154 174 180 196 222 226	-183369517000
STPT(10)	2561153945307746051	0 2 6 8 48 50 90 92 96 98	656399072994
SPT(16)	2561154642741325457	0 14 32 50 102 120 126 140 156 170 176 194 246 264 282 296	1353832652400
SPT(16)	2561155647729241817	0 24 44 56 72 114 132 144 212 224 242 284 300 312 332 356	2358820568760
SPT(16)	2561156308071822833	0 14 26 140 194 284 294 336 338 380 390 480 534 648 660 674	3019163149776
SPT(16)	2561156332169083123	0 10 28 40 60 138 154 178 186 210 226 304 324 336 354 364	3043260410066