Prime p₀= 798082101697660723 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 20 40 6 56 10 8 52 8 10 56 6 40 20 28 (?)
a_n: 0 28 48 88 94 150 160 168 220 228 238 294 300 340 360 388
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: 388
Found by: [SG-2W]Kurzer
db: batch=73, k=16, 28 20 40 6 56 10 8 52

SPT(16)	798081040218112237	0 30 34 60 72 82 96 100 156 160 174 184 196 222 226 256	-1061479548486
SPT(16)	798081083796283219	0 48 64 144 154 168 238 240 358 360 430 444 454 534 550 598	-1017901377504
SPT(16)	798081162020519389	0 22 24 42 64 148 174 178 234 238 264 348 370 388 390 412	-939677141334
SPT(16)	798081262409067977	0 2 14 26 54 72 120 134 162 176 224 242 270 282 294 296	-839288592746
SPT(16)	798081583771260739	0 10 12 48 52 70 88 112 150 174 192 210 214 250 252 262	-517926399984
SPT(16)	798081950998304363	0 30 56 74 96 98 110 114 140 144 156 158 180 198 224 254	-150699356360
STPT(10)	798082130411855477	0 2 24 26 42 44 60 62 84 86	28714194754
TPT(14)	798082689653488829	0 2 30 32 42 44 72 74 78 80 102 104 120 122	587955828106
STPT(10)	798082708634218739	0 2 42 44 90 92 138 140 180 182	606936558016
SPT(16)	798082949509362983	0 20 36 44 68 86 98 104 120 126 138 156 180 188 204 224	847811702260
STPT(10)	798083685755573057	0 2 42 44 162 164 282 284 324 326	1584057912334