Prime p₀= 2501392624557170737 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 20 16 6 38 66 102 22 102 66 38 6 16 20 4 (?)
a_n: 0 4 24 40 46 84 150 252 274 376 442 480 486 502 522 526
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: 526
Found by: JayPi
db: batch=82, k=16, 4 20 16 6 38 66 102 22

SPT(16)	2501390445906705923	0 8 26 86 104 114 128 140 204 216 230 240 258 318 336 344	-2178650464814
SPT(16)	2501390909934569449	0 12 24 34 40 54 60 88 174 202 208 222 228 238 250 262	-1714622601288
STPT(10)	2501390927673343619	0 2 12 14 90 92 168 170 180 182	-1696883827118
STPT(10)	2501391036298716827	0 2 42 44 72 74 102 104 144 146	-1588258453910
SPT(16)	2501391788322928841	0 8 18 90 120 162 176 236 252 312 326 368 398 470 480 488	-836234241896
STPT(10)	2501392078460470379	0 2 18 20 30 32 42 44 60 62	-546096700358
STPT(10)	2501392699000753697	0 2 12 14 42 44 72 74 84 86	74443582960
TPT(14)	2501392968942979877	0 2 54 56 120 122 174 176 192 194 330 332 342 344	344385809140
STPT(12)	2501392985874872207	0 2 24 26 30 32 54 56 60 62 84 86	361317701470
SPT(16)	2501393133001278277	0 40 90 114 136 156 202 214 222 234 280 300 322 346 396 436	508444107540
SPT(16)	2501393408778768541	0 30 46 58 88 120 142 156 232 246 268 300 330 342 358 388	784221597804