Prime p₀= 2726669870127457103 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 50 18 16 14 36 76 26 172 26 76 36 14 16 18 50 (?)
a_n: 0 50 68 84 98 134 210 236 408 434 510 546 560 576 594 644
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: JayPi
db: batch=82, k=16, 50 18 16 14 36 76 26 172

SPT(16)	2726669069675881511	0 38 80 90 102 132 156 188 210 242 266 296 308 318 360 398	-800451575592
SPT(16)	2726669138249819551	0 22 60 90 112 138 202 208 210 216 280 306 328 358 396 418	-731877637552
SPT(16)	2726669372590336471	0 6 30 70 88 100 112 156 172 216 228 240 258 298 322 328	-497537120632
SPT(16)	2726669480603853923	0 8 54 66 90 98 138 150 164 176 216 224 248 260 306 314	-389523603180
STPT(10)	2726669576484539009	0 2 42 44 60 62 78 80 120 122	-293642918094
SPT(16)	2726669729660045149	0 12 18 22 40 58 60 112 198 250 252 270 288 292 298 310	-140467411954
STPT(10)	2726669935070020967	0 2 24 26 42 44 60 62 84 86	64942563864
STPT(10)	2726669959717393757	0 2 12 14 42 44 72 74 84 86	89589936654
STPT(10)	2726670191065912841	0 2 36 38 78 80 120 122 156 158	320938455738
STPT(12)	2726670225468749489	0 2 12 14 72 74 138 140 198 200 210 212	355341292386
TPT(14)	2726670598518331649	0 2 30 32 198 200 228 230 270 272 288 290 312 314	728390874546