Prime p₀= 2312971237548599891 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Orange Kid
db: batch=81, k=10, 2 4 2 40 2

SPT(16)	2312970045778483499	0 2 50 78 90 102 122 140 150 168 188 200 212 240 288 290	-1191770116392
STPT(10)	2312970267144744971	0 2 30 32 78 80 126 128 156 158	-970403854920
STPT(10)	2312970397743237941	0 2 36 38 78 80 120 122 156 158	-839805361950
TPT(14)	2312970636421451639	0 2 12 14 48 50 78 80 90 92 138 140 162 164	-601127148252
TPT(14)	2312970650929326317	0 2 12 14 42 44 114 116 144 146 150 152 180 182	-586619273574
SPT(16)	2312970952218244973	0 18 26 30 84 98 254 260 264 270 426 440 494 498 506 524	-285330354918
SPT(16)	2312971844669593337	0 6 32 42 54 86 222 242 294 314 450 482 494 504 530 536	607120993446
STPT(10)	2312972283995501657	0 2 42 44 72 74 102 104 144 146	1046446901766
STPT(10)	2312972299422958907	0 2 24 26 42 44 60 62 84 86	1061874359016
SPT(16)	2312972522181554221	0 18 66 108 132 136 186 190 198 202 252 256 280 322 370 388	1284632954330
SPT(16)	2312972669223481333	0 70 94 126 136 150 154 216 274 336 340 354 364 396 420 490	1431674881442