Prime p₀= 2878575471030349289 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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 40 2 46 2

SPT(16)	2878574029185643199	0 20 32 50 54 90 102 110 132 140 152 188 192 210 222 242	-1441844706090
SPT(16)	2878574062439131349	0 12 30 72 102 108 150 168 212 230 272 278 308 350 368 380	-1408591217940
STPT(10)	2878574542888021301	0 2 30 32 78 80 126 128 156 158	-928142327988
STPT(10)	2878574804714905991	0 2 36 38 78 80 120 122 156 158	-666315443298
STPT(10)	2878574917439939609	0 2 132 134 150 152 168 170 300 302	-553590409680
SPT(16)	2878575320414763419	0 50 72 84 90 102 128 140 192 204 230 242 248 260 282 332	-150615585870
SPT(16)	2878575912395769787	0 12 34 40 64 90 102 120 136 154 166 192 216 222 244 256	441365420498
STPT(10)	2878575988768857677	0 2 24 26 42 44 60 62 84 86	517738508388
SPT(16)	2878576118258505143	0 30 84 138 150 168 180 194 294 308 320 338 350 404 458 488	647228155854
SPT(16)	2878576314027849503	0 6 50 66 116 120 126 150 176 200 206 210 260 276 320 326	842997500214
TPT(14)	2878576441017323771	0 2 6 8 60 62 96 98 138 140 168 170 180 182	969986974482