Prime p₀= 2523722795068135637 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 80 4 6 84 26 16 278 16 26 84 6 4 80 30 (?)
a_n: 0 30 110 114 120 204 230 246 524 540 566 650 656 660 740 770
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: 770
Found by: JayPi
db: batch=82, k=16, 30 80 4 6 84 26 16 278

SPT(16)	2523721681389522829	0 34 88 94 108 112 174 180 202 208 270 274 288 294 348 382	-1113678612808
STPT(10)	2523721715043579899	0 2 30 32 60 62 90 92 120 122	-1080024555738
STPT(10)	2523721759256059907	0 2 30 32 42 44 54 56 84 86	-1035812075730
TPT(14)	2523721869688493597	0 2 12 14 90 92 102 104 270 272 294 296 312 314	-925379642040
TPT(14)	2523722321366367809	0 2 132 134 282 284 342 344 408 410 420 422 510 512	-473701767828
STPT(10)	2523722423002332647	0 2 30 32 42 44 54 56 84 86	-372065802990
SPT(16)	2523723673920475459	0 10 28 42 90 138 142 160 192 210 214 262 310 324 342 352	878852339822
STPT(10)	2523723722176464107	0 2 24 26 42 44 60 62 84 86	927108328470
SPT(16)	2523723835817722883	0 8 50 60 66 144 146 170 204 228 230 308 314 324 366 374	1040749587246
SPT(16)	2523724201193609633	0 18 24 36 50 74 116 150 224 258 300 324 338 350 356 374	1406125473996
STPT(10)	2523724763682757049	0 2 48 50 60 62 72 74 120 122	1968614621412