Prime p₀= 2623573776409370957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2623571299946409311	0 2 36 38 78 80 120 122 156 158	-2476462961646
SPT(16)	2623571330880655819	0 34 52 118 174 208 228 244 318 334 354 388 444 510 528 562	-2445528715138
SPT(13)	2623571967086413639	0 60 84 90 114 150 192 234 270 294 300 324 384	-1809322957318
SPT(16)	2623573047772340639	0 2 30 54 104 114 152 170 192 210 248 258 308 332 360 362	-728637030318
STPT(10)	2623573280675364317	0 2 24 26 42 44 60 62 84 86	-495734006640
STPT(10)	2623573741338159299	0 2 18 20 30 32 42 44 60 62	-35071211658
SPT(13)	2623573907860959323	0 18 48 78 138 168 174 180 210 270 300 330 348	131451588366
SPT(16)	2623574270005448611	0 18 52 60 96 106 118 126 172 180 192 202 238 246 280 298	493596077654
TPT(14)	2623574358428605031	0 2 30 32 36 38 48 50 90 92 156 158 168 170	582019234074
SPT(16)	2623574750864256373	0 16 30 34 78 100 144 148 156 160 204 226 270 274 288 304	974454885416
SPT(16)	2623574948152620587	0 56 66 72 110 114 140 144 152 156 182 186 224 230 240 296	1171743249630