Prime p₀= 2779902690412003361 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2779901111394820169	0 32 42 84 144 152 180 194 240 254 282 290 350 392 402 434	-1579017183192
TPT(14)	2779901381577306851	0 2 60 62 138 140 168 170 198 200 258 260 270 272	-1308834696510
SPT(16)	2779901531330053483	0 6 106 126 138 174 204 210 244 250 280 316 328 348 448 454	-1159081949878
SPT(16)	2779901592519898621	0 42 78 82 90 106 108 136 192 220 222 238 246 250 286 328	-1097892104740
SPT(16)	2779901640175299403	0 70 96 124 126 130 154 180 184 210 234 238 240 268 294 364	-1050236703958
STPT(10)	2779902063444047777	0 2 42 44 72 74 102 104 144 146	-626967955584
STPT(10)	2779902859337148497	0 2 30 32 42 44 54 56 84 86	168925145136
SPT(16)	2779902863527662517	0 12 60 100 112 142 154 172 204 222 234 264 276 316 364 376	173115659156
SPT(16)	2779903485519164041	0 46 58 90 102 108 142 148 240 246 280 286 298 330 342 388	795107160680
SPT(16)	2779903987043215547	0 20 30 74 84 102 104 132 182 210 212 230 240 284 294 314	1296631212186
SPT(16)	2779904121409237259	0 20 38 84 120 140 150 198 224 272 282 302 338 384 402 422	1430997233898