Prime p₀= 2156867952096809447 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

STPT(10)	2156867094118997891	0 2 36 38 78 80 120 122 156 158	-857977811556
STPT(10)	2156867273185041029	0 2 18 20 30 32 42 44 60 62	-678911768418
SPT(16)	2156867295093780019	0 24 72 100 102 142 154 178 234 258 270 310 312 340 388 412	-657003029428
SPT(16)	2156867362941488671	0 12 70 88 166 192 220 256 312 348 376 402 480 498 556 568	-589155320776
SPT(16)	2156867610220980649	0 40 88 90 108 130 132 192 238 298 300 322 340 342 390 430	-341875828798
STPT(10)	2156867659374249761	0 2 30 32 60 62 90 92 120 122	-292722559686
SPT(16)	2156868386258265821	0 98 138 152 162 180 206 242 246 282 308 326 336 350 390 488	434161456374
SPT(16)	2156868868913854049	0 8 62 78 104 110 122 128 174 180 192 198 224 240 294 302	916817044602
SPT(16)	2156869129490092421	0 32 92 120 132 236 270 288 290 308 342 446 458 486 546 578	1177393282974
SPT(16)	2156869189580004737	0 54 56 102 122 126 134 140 186 192 200 204 224 270 272 326	1237483195290
SPT(16)	2156869760498434001	0 12 20 42 72 108 140 150 170 180 212 248 278 300 308 320	1808401624554