Prime p₀= 1273678942400359907 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Theadalus
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1273677925845648689	0 2 42 44 60 62 78 80 120 122	-1016554711218
STPT(10)	1273678320728961137	0 2 42 44 72 74 102 104 144 146	-621671398770
SPT(16)	1273678520027785799	0 32 48 54 68 90 102 132 140 170 182 204 218 224 240 272	-422372574108
SPT(16)	1273678641747466751	0 80 102 128 168 192 222 242 348 368 398 422 462 488 510 590	-300652893156
STPT(10)	1273678700599704557	0 2 54 56 72 74 90 92 144 146	-241800655350
SPT(16)	1273678736178767183	0 6 14 18 20 30 44 96 158 210 224 234 236 240 248 254	-206221592724
SPT(16)	1273678946072358949	0 22 60 120 148 154 162 168 244 250 258 264 292 352 390 412	3671999042
SPT(16)	1273678973601714139	0 12 18 48 52 64 70 78 94 102 108 120 124 154 160 172	31201354232
TPT(14)	1273679155020594137	0 2 30 32 90 92 114 116 180 182 294 296 342 344	212620234230
TPT(14)	1273679162686946159	0 2 18 20 60 62 210 212 240 242 282 284 312 314	220286586252
STPT(10)	1273679293991335079	0 2 30 32 60 62 90 92 120 122	351590975172