Prime p₀= 1094127919308596069 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: crashtech
db: batch=76, k=10, 2 40 2 16 2

STPT(10)	1094127275473249289	0 2 18 20 30 32 42 44 60 62	-643835346780
STPT(10)	1094127762740642711	0 2 6 8 48 50 90 92 96 98	-156567953358
SPT(16)	1094127768816527287	0 6 10 22 34 64 100 166 360 426 462 492 504 516 520 526	-150492068782
SPT(16)	1094127783926104429	0 12 28 40 144 162 178 214 228 264 280 298 402 414 430 442	-135382491640
STPT(10)	1094127801014322539	0 2 12 14 90 92 168 170 180 182	-118294273530
STPT(10)	1094127889616855447	0 2 54 56 72 74 90 92 144 146	-29691740622
STPT(10)	1094127966502427369	0 2 42 44 60 62 78 80 120 122	47193831300
STPT(10)	1094128343387572289	0 2 18 20 30 32 42 44 60 62	424078976220
STPT(10)	1094128578532633517	0 2 30 32 42 44 54 56 84 86	659224037448
STPT(10)	1094130554350513859	0 2 12 14 90 92 168 170 180 182	2635041917790
SPT(16)	1094130818516793241	0 30 42 48 72 118 120 126 142 148 150 196 220 226 238 268	2899208197172