Prime p₀= 1127401391237832119 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: crashtech
db: batch=76, k=10, 2 10 2 76 2

STPT(10)	1127400734904733307	0 2 12 14 72 74 132 134 144 146	-656333098812
STPT(10)	1127400764529958727	0 2 30 32 42 44 54 56 84 86	-626707873392
SPT(16)	1127400908268706607	0 20 44 104 126 132 152 162 194 204 224 230 252 312 336 356	-482969125512
SPT(16)	1127400911052840569	0 8 38 54 78 84 110 120 122 132 158 164 188 204 234 242	-480184991550
SPT(16)	1127401131298705369	0 12 52 54 58 64 78 144 148 214 228 234 238 240 280 292	-259939126750
SPT(16)	1127401386501418307	0 2 24 56 60 96 114 122 174 182 200 236 240 272 294 296	-4736413812
STPT(10)	1127401629183619091	0 2 30 32 78 80 126 128 156 158	237945786972
STPT(10)	1127401855139740721	0 2 30 32 78 80 126 128 156 158	463901908602
TPT(14)	1127402001246841247	0 2 42 44 144 146 222 224 252 254 270 272 300 302	610009009128
SPT(16)	1127402375980820363	0 6 56 68 74 98 116 180 314 378 396 420 426 438 488 494	984742988244
STPT(10)	1127403030385747901	0 2 30 32 60 62 90 92 120 122	1639147915782