Prime p₀= 1278037997987454017 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: MarkRBright
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1278037306955222381	0 2 126 128 138 140 150 152 276 278	-691032231636
STPT(10)	1278037516712623361	0 2 36 38 78 80 120 122 156 158	-481274830656
SPT(16)	1278037541433898909	0 4 70 118 124 160 184 234 244 294 318 354 360 408 474 478	-456553555108
SPT(16)	1278037777986826897	0 24 40 52 94 102 126 154 162 190 214 222 264 276 292 316	-220000627120
SPT(16)	1278037939410449117	0 14 32 60 80 90 150 180 236 266 326 336 356 384 402 416	-58577004900
SPT(13)	1278037944276894293	0 30 36 120 210 276 330 384 450 540 624 630 660	-53710559724
STPT(10)	1278038107935948221	0 2 30 32 78 80 126 128 156 158	109948494204
SPT(16)	1278038296280766403	0 18 94 120 168 186 214 238 246 270 298 316 364 390 466 484	298293312386
STPT(10)	1278038420278348739	0 2 48 50 90 92 132 134 180 182	422290894722
SPT(16)	1278038490418691389	0 12 42 78 84 154 168 180 232 244 258 328 334 370 400 412	492431237372
STPT(10)	1278039179953270487	0 2 30 32 42 44 54 56 84 86	1181965816470