Prime p₀= 2851713996565951679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: Ben
db: batch=82, k=10, 2 40 2 76 2

SPT(16)	2851712862742831643	0 30 44 50 96 114 134 164 180 210 230 248 294 300 314 344	-1133823120036
SPT(16)	2851712874082191601	0 6 18 28 40 88 130 180 208 258 300 348 360 370 382 388	-1122483760078
STPT(10)	2851713066737117249	0 2 42 44 60 62 78 80 120 122	-929828834430
STPT(10)	2851713080192102261	0 2 36 38 78 80 120 122 156 158	-916373849418
STPT(10)	2851713187694926151	0 2 36 38 78 80 120 122 156 158	-808871025528
TPT(14)	2851713190325667167	0 2 42 44 84 86 90 92 192 194 264 266 360 362	-806240284512
STPT(10)	2851714132497525857	0 2 42 44 72 74 102 104 144 146	135931574178
STPT(10)	2851714245314062547	0 2 12 14 42 44 72 74 84 86	248748110868
SPT(16)	2851714257192780137	0 6 12 26 86 116 126 132 224 230 240 270 330 344 350 356	260626828458
SPT(16)	2851714346522080327	0 4 16 22 40 46 60 82 84 106 120 126 144 150 162 166	349956128648
SPT(16)	2851714551665014157	0 50 62 96 162 174 176 180 206 210 212 224 290 324 336 386	555099062478