Prime p₀= 2112047970114099497 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2112047008934243189	0 12 14 54 68 128 152 188 294 330 354 414 428 468 470 482	-961179856308
SPT(16)	2112047033986823237	0 12 44 104 122 132 140 170 174 204 212 222 240 300 332 344	-936127276260
SPT(16)	2112047129061657877	0 4 60 94 96 102 144 154 162 172 214 220 222 256 312 316	-841052441620
SPT(16)	2112047354397055631	0 12 20 26 36 78 132 140 288 296 350 392 402 408 416 428	-615717043866
SPT(16)	2112047682505289569	0 22 34 42 60 124 130 144 238 252 258 322 340 348 360 382	-287608809928
TPT(14)	2112047695371795791	0 2 30 32 78 80 120 122 156 158 240 242 366 368	-274742303706
SPT(16)	2112047988815425183	0 24 40 46 76 94 136 154 186 204 246 264 294 300 316 340	18701325686
TPT(14)	2112048129467607341	0 2 6 8 36 38 48 50 126 128 138 140 168 170	159353507844
STPT(12)	2112048129467607347	0 2 30 32 42 44 120 122 132 134 162 164	159353507850
SPT(16)	2112048506943321719	0 12 24 44 110 120 134 138 164 168 182 192 258 278 290 302	536829222222
STPT(10)	2112048627888581477	0 2 30 32 42 44 54 56 84 86	657774481980