Prime p₀= 2112874422651527831 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: Ben
db: batch=80, k=10, 2 4 2 10 2

STPT(10)	2112872780581985309	0 2 18 20 30 32 42 44 60 62	-1642069542522
SPT(16)	2112872932531865293	0 10 18 34 54 124 144 214 300 370 390 460 480 496 504 514	-1490119662538
SPT(16)	2112872983722402949	0 10 12 24 40 112 168 204 208 244 300 372 388 400 402 412	-1438929124882
SPT(16)	2112873127647993461	0 36 80 102 108 150 156 176 192 212 218 260 266 288 332 368	-1295003534370
STPT(10)	2112873225074703101	0 2 6 8 48 50 90 92 96 98	-1197576824730
SPT(16)	2112873244805258323	0 34 48 64 70 90 100 114 124 138 148 168 174 190 204 238	-1177846269508
SPT(16)	2112874894775822357	0 152 162 200 224 242 252 264 272 284 294 312 336 374 384 536	472124294526
SPT(16)	2112875130656748937	0 6 72 112 114 120 136 142 174 180 196 202 204 244 310 316	708005221106
STPT(10)	2112875157985978457	0 2 30 32 42 44 54 56 84 86	735334450626
STPT(10)	2112875398551096917	0 2 90 92 132 134 174 176 264 266	975899569086
STPT(10)	2112875524345584239	0 2 48 50 90 92 132 134 180 182	1101694056408