Prime p₀= 2156807362557640979 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2156804584678710047	0 2 12 14 72 74 132 134 144 146	-2777878930932
TPT(14)	2156804748242990471	0 2 66 68 138 140 150 152 168 170 216 218 348 350	-2614314650508
STPT(10)	2156805077431418969	0 2 78 80 120 122 162 164 240 242	-2285126222010
SPT(16)	2156805695090856611	0 26 50 62 86 126 132 140 168 176 182 222 246 258 282 308	-1667466784368
STPT(10)	2156806210802149601	0 2 30 32 78 80 126 128 156 158	-1151755491378
SPT(16)	2156807237235666607	0 16 54 70 124 142 160 174 232 246 264 282 336 352 390 406	-125321974372
STPT(10)	2156807554492338929	0 2 18 20 30 32 42 44 60 62	191934697950
SPT(16)	2156808046529745299	0 12 74 78 110 120 140 150 152 162 182 192 224 228 290 302	683972104320
STPT(10)	2156808103549834487	0 2 30 32 42 44 54 56 84 86	740992193508
SPT(16)	2156808248302776311	0 20 26 42 48 90 102 122 126 146 158 200 206 222 228 248	885745135332
SPT(16)	2156808870894314803	0 28 40 196 210 220 286 316 348 378 444 454 468 624 636 664	1508336673824