Prime p₀= 2112872780581985309 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=80, k=10, 2 16 2 10 2

STPT(10)	2112871602435966257	0 2 12 14 42 44 72 74 84 86	-1178146019052
SPT(16)	2112871804578652697	0 24 54 60 84 180 216 236 270 290 326 422 446 452 482 506	-976003332612
SPT(16)	2112871963933498189	0 34 42 60 90 162 174 240 244 310 322 394 424 442 450 484	-816648487120
STPT(10)	2112872134958571191	0 2 6 8 18 20 30 32 36 38	-645623414118
STPT(10)	2112872516805851807	0 2 30 32 42 44 54 56 84 86	-263776133502
SPT(16)	2112872708359331497	0 22 40 52 82 90 112 126 130 144 166 174 204 216 234 256	-72222653812
SPT(16)	2112872932531865293	0 10 18 34 54 124 144 214 300 370 390 460 480 496 504 514	151949879984
SPT(16)	2112872983722402949	0 10 12 24 40 112 168 204 208 244 300 372 388 400 402 412	203140417640
SPT(16)	2112873127647993461	0 36 80 102 108 150 156 176 192 212 218 260 266 288 332 368	347066008152
STPT(10)	2112873225074703101	0 2 6 8 48 50 90 92 96 98	444492717792
SPT(16)	2112873244805258323	0 34 48 64 70 90 100 114 124 138 148 168 174 190 204 238	464223273014