Prime p₀= 2112079209948705761 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: JonS
db: batch=80, k=10, 2 28 2 46 2

SPT(16)	2112077035778629811	0 2 36 42 48 62 78 80 138 140 156 170 176 182 216 218	-2174170075950
SPT(16)	2112077106516561941	0 32 42 92 108 110 116 128 150 162 168 170 186 236 246 278	-2103432143820
STPT(10)	2112077783466864539	0 2 18 20 30 32 42 44 60 62	-1426481841222
SPT(16)	2112077854175495851	0 28 40 142 156 186 196 198 280 282 292 322 336 438 450 478	-1355773209910
SPT(16)	2112078264774198689	0 2 12 20 24 68 128 150 152 174 234 278 282 290 300 302	-945174507072
SPT(16)	2112078847578470951	0 56 110 120 138 152 182 206 222 246 276 290 308 318 372 428	-362370234810
SPT(16)	2112080014392145789	0 4 40 60 70 78 88 112 120 144 154 162 172 192 228 232	804443440028
SPT(16)	2112080122478989573	0 96 106 150 184 198 268 270 274 276 346 360 394 438 448 544	912530283812
STPT(10)	2112080337887764427	0 2 30 32 42 44 54 56 84 86	1127939058666
SPT(16)	2112080467549517323	0 34 60 84 126 148 154 174 190 210 216 238 280 304 330 364	1257600811562
TPT(14)	2112080487079823567	0 2 72 74 180 182 234 236 240 242 282 284 294 296	1277131117806