Prime p₀= 786209550667654943 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 20 30 42 12 30 18 58 18 30 12 42 30 20 36 (?)
a_n: 0 36 56 86 128 140 170 188 246 264 294 306 348 378 398 434
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 434
Found by: GLeeM
db: batch=73, k=16, 36 20 30 42 12 30 18 58

SPT(16)	786208731906554081	0 132 146 188 228 242 258 272 306 320 336 350 390 432 446 578	-818761100862
STPT(10)	786208849675590161	0 2 6 8 18 20 30 32 36 38	-700992064782
STPT(10)	786208946153050331	0 2 6 8 18 20 30 32 36 38	-604514604612
STPT(12)	786209101419537977	0 2 24 26 30 32 54 56 60 62 84 86	-449248116966
STPT(10)	786209120404542407	0 2 24 26 42 44 60 62 84 86	-430263112536
STPT(10)	786209404165627019	0 2 42 44 90 92 138 140 180 182	-146502027924
STPT(10)	786209586496310927	0 2 30 32 42 44 54 56 84 86	35828655984
STPT(10)	786209642118114881	0 2 6 8 18 20 30 32 36 38	91450459938
STPT(10)	786209778465690107	0 2 60 62 72 74 84 86 144 146	227798035164
STPT(12)	786209791684797407	0 2 12 14 42 44 102 104 132 134 144 146	241017142464
STPT(10)	786209806280818187	0 2 90 92 102 104 114 116 204 206	255613163244