Prime p₀= 2012779906588609967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2012778773420022701	0 2 36 38 78 80 120 122 156 158	-1133168587266
TPT(14)	2012778910497496157	0 2 84 86 162 164 174 176 240 242 252 254 324 326	-996091113810
SPT(16)	2012779071200777699	0 2 68 122 140 144 158 180 182 204 218 222 240 294 360 362	-835387832268
SPT(16)	2012779639890428971	0 42 52 70 100 108 118 132 136 150 160 168 198 216 226 268	-266698180996
SPT(16)	2012779681346716969	0 18 70 78 88 100 112 222 238 348 360 372 382 390 442 460	-225241892998
SPT(16)	2012779781182145243	0 20 30 38 60 86 98 120 254 276 288 314 336 344 354 374	-125406464724
SPT(16)	2012780049394655731	0 10 16 28 42 58 100 102 106 108 150 166 180 192 198 208	142806045764
STPT(10)	2012780195214337691	0 2 6 8 18 20 30 32 36 38	288625727724
SPT(16)	2012780928025695463	0 28 30 96 100 126 136 160 234 258 268 294 298 364 366 394	1021437085496
STPT(10)	2012780956062120611	0 2 6 8 48 50 90 92 96 98	1049473510644
STPT(10)	2012780985839297579	0 2 42 44 90 92 138 140 180 182	1079250687612