Prime p₀= 2112097755725522231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2112096894986896553	0 26 66 86 108 128 156 168 206 218 246 266 288 308 348 374	-860738625678
STPT(10)	2112097458601794449	0 2 42 44 60 62 78 80 120 122	-297123727782
STPT(10)	2112097508734683647	0 2 60 62 72 74 84 86 144 146	-246990838584
STPT(10)	2112097509855894887	0 2 30 32 42 44 54 56 84 86	-245869627344
SPT(16)	2112097648858528951	0 6 22 28 76 102 118 132 196 210 226 252 300 306 322 328	-106866993280
SPT(16)	2112097677236466911	0 12 36 62 78 92 210 216 272 278 396 410 426 452 476 488	-78489055320
STPT(10)	2112097913858972069	0 2 18 20 30 32 42 44 60 62	158133449838
SPT(16)	2112097972673710909	0 30 34 42 94 132 154 238 264 348 370 408 460 468 472 502	216948188678
SPT(16)	2112098262676814641	0 60 78 102 106 108 130 132 166 168 190 192 196 220 238 298	506951292410
SPT(16)	2112098351082978989	0 42 48 84 92 132 162 194 198 230 260 300 308 344 350 392	595357456758
SPT(16)	2112098417800152637	0 60 66 70 172 186 190 196 276 282 286 300 402 406 412 472	662074630406