Prime p₀= 2726302819887177857 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

SPT(16)	2726301908744782309	0 54 64 100 102 120 144 154 240 250 274 292 294 330 340 394	-911142395548
SPT(16)	2726301964728506993	0 56 114 126 168 176 258 266 288 296 378 386 428 440 498 554	-855158670864
SPT(16)	2726302112057616047	0 36 104 114 116 134 176 204 236 264 306 324 326 336 404 440	-707829561810
SPT(16)	2726302168194245833	0 34 64 76 78 90 168 180 184 196 274 286 288 300 330 364	-651692932024
STPT(10)	2726302284837233129	0 2 18 20 30 32 42 44 60 62	-535049944728
STPT(10)	2726302755294584831	0 2 30 32 78 80 126 128 156 158	-64592593026
SPT(16)	2726303146253674181	0 18 20 36 62 102 132 168 200 236 266 306 332 348 350 368	326366496324
SPT(16)	2726303261707990817	0 2 6 30 62 66 72 102 110 140 146 150 182 206 210 212	441820812960
SPT(16)	2726303332945450417	0 22 46 60 102 106 112 124 132 144 150 154 196 210 234 256	513058272560
SPT(16)	2726303859827089237	0 24 42 70 72 94 100 154 222 276 282 304 306 334 352 376	1039939911380
SPT(16)	2726304412757705851	0 36 52 58 60 66 126 142 156 172 232 238 240 246 262 298	1592870527994