Prime p₀= 2729291286119474807 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 28 50 58 6 8 76 26 76 8 6 58 50 28 14 (?)
a_n: 0 14 42 92 150 156 164 240 266 342 350 356 414 464 492 506
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: 506
Found by: JayPi
db: batch=82, k=16, 14 28 50 58 6 8 76 26

STPT(10)	2729290584915975539	0 2 42 44 90 92 138 140 180 182	-701203499268
SPT(16)	2729290660322493259	0 40 70 82 102 108 130 144 178 192 214 220 240 252 282 322	-625796981548
STPT(10)	2729290684838324681	0 2 6 8 48 50 90 92 96 98	-601281150126
SPT(16)	2729290770898438723	0 6 16 34 36 100 114 160 204 250 264 328 330 348 358 364	-515221036084
SPT(16)	2729290969627881739	0 10 40 48 54 70 100 124 168 192 222 238 244 252 282 292	-316491593068
SPT(16)	2729291036362324793	0 14 36 50 56 78 80 86 198 204 206 228 234 248 270 284	-249757150014
STPT(10)	2729291666073277181	0 2 30 32 60 62 90 92 120 122	379953802374
SPT(16)	2729291777110829471	0 8 38 66 140 146 188 210 248 270 312 318 392 420 450 458	490991354664
STPT(10)	2729291785815185117	0 2 90 92 102 104 114 116 204 206	499695710310
STPT(10)	2729291812202537579	0 2 48 50 90 92 132 134 180 182	526083062772
SPT(16)	2729291826095995093	0 10 66 70 84 90 96 118 126 148 154 160 174 178 234 244	539976520286