Prime p₀= 2501407534039542833 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 60 10 56 12 16 50 196 50 16 12 56 10 60 20 (?)
a_n: 0 20 80 90 146 158 174 224 420 470 486 498 554 564 624 644
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: 644
Found by: Groo
db: batch=82, k=16, 20 60 10 56 12 16 50 196

SPT(16)	2501406481158845783	0 14 20 24 56 74 78 90 134 146 150 168 200 204 210 224	-1052880697050
STPT(10)	2501407312553609387	0 2 42 44 72 74 102 104 144 146	-221485933446
SPT(16)	2501407325166613537	0 16 22 60 66 84 120 126 130 136 172 190 196 234 240 256	-208872929296
STPT(10)	2501407340933405501	0 2 36 38 78 80 120 122 156 158	-193106137332
STPT(10)	2501407342269004859	0 2 18 20 30 32 42 44 60 62	-191770537974
TPT(14)	2501407501911690221	0 2 66 68 90 92 108 110 180 182 300 302 306 308	-32127852612
SPT(16)	2501407758394363997	0 24 62 66 104 114 132 146 150 164 182 192 230 234 272 296	224354821164
SPT(16)	2501408175942572159	0 2 32 42 60 170 182 200 222 240 252 362 380 390 420 422	641903029326
STPT(10)	2501408333680417487	0 2 30 32 42 44 54 56 84 86	799640874654
SPT(16)	2501408552915338301	0 2 20 96 110 138 146 152 156 162 170 198 212 288 306 308	1018875795468
STPT(10)	2501408803410246407	0 2 30 32 42 44 54 56 84 86	1269370703574