Prime p₀= 2679645155868197849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2679642559017436007	0 2 50 56 66 72 92 114 182 204 224 230 240 246 294 296	-2596850761842
TPT(14)	2679643169146853711	0 2 126 128 168 170 228 230 240 242 258 260 306 308	-1986721344138
SPT(16)	2679643199749893917	0 12 30 36 66 96 122 182 264 324 350 380 410 416 434 446	-1956118303932
STPT(10)	2679644662346887559	0 2 42 44 60 62 78 80 120 122	-493521310290
STPT(10)	2679644847130424321	0 2 30 32 78 80 126 128 156 158	-308737773528
TPT(14)	2679644929592342267	0 2 12 14 150 152 180 182 384 386 402 404 420 422	-226275855582
SPT(16)	2679645167054285197	0 22 34 42 60 102 174 192 214 232 304 346 364 372 384 406	11186087348
SPT(13)	2679645412345304257	0 30 54 96 114 156 180 204 246 264 306 330 360	256477106408
SPT(16)	2679645728701475939	0 38 54 60 62 80 98 104 108 114 132 150 152 158 174 212	572833278090
SPT(16)	2679646931540333387	0 20 24 42 150 210 224 230 234 240 254 314 422 440 444 464	1775672135538
SPT(16)	2679647031831062593	0 46 70 84 88 100 108 114 130 136 144 156 160 174 198 244	1875962864744