Prime p₀= 2315857716995289947 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2315856520599749339	0 2 42 44 60 62 78 80 120 122	-1196395540608
STPT(10)	2315856682610011139	0 2 18 20 30 32 42 44 60 62	-1034385278808
SPT(16)	2315856753372260821	0 28 72 120 130 142 150 220 378 448 456 468 478 526 570 598	-963623029126
SPT(16)	2315856947610339877	0 22 60 76 112 126 132 142 174 184 190 204 240 256 294 316	-769384950070
STPT(10)	2315857088823640289	0 2 48 50 90 92 132 134 180 182	-628171649658
TPT(14)	2315857375445856689	0 2 30 32 108 110 150 152 252 254 360 362 402 404	-341549433258
SPT(16)	2315858376104404091	0 50 60 98 102 108 122 132 158 168 182 188 192 230 240 290	659109114144
STPT(10)	2315858467407649037	0 2 30 32 42 44 54 56 84 86	750412359090
SPT(16)	2315858486782439881	0 28 52 58 60 66 168 190 318 340 442 448 450 456 480 508	769787149934
SPT(18)	2315858510223575929	0 42 72 78 100 112 118 154 160 192 198 234 240 252 274 280 310 352	793228285982
SPT(16)	2315858559880670863	0 60 64 76 78 120 126 130 144 148 154 196 198 210 214 274	842885380916