Prime p₀= 2313745538468254949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: arkiss
db: batch=81, k=10, 2 40 2 16 2

STPT(10)	2313743881856997641	0 2 6 8 18 20 30 32 36 38	-1656611257308
TPT(14)	2313744503731153079	0 2 30 32 108 110 198 200 210 212 222 224 378 380	-1034737101870
SPT(16)	2313744727423803809	0 2 78 80 114 128 132 158 174 200 204 218 252 254 330 332	-811044451140
SPT(16)	2313744808100271361	0 40 70 76 78 132 166 208 210 252 286 340 342 348 378 418	-730367983588
STPT(12)	2313744812184190739	0 2 12 14 30 32 72 74 90 92 102 104	-726284064210
SPT(16)	2313744812531945917	0 22 40 70 76 112 174 180 196 202 264 300 306 336 354 376	-725936309032
SPT(16)	2313745604913797759	0 18 78 110 134 144 174 180 188 194 224 234 258 290 350 368	66445542810
SPT(16)	2313746299168122853	0 40 46 88 108 114 150 184 210 244 280 286 306 348 354 394	760699867904
SPT(16)	2313746300244532589	0 2 14 24 80 90 98 122 150 174 182 192 248 258 270 272	761776277640
STPT(10)	2313746329211886977	0 2 42 44 72 74 102 104 144 146	790743632028
SPT(16)	2313746442508842239	0 2 12 30 42 44 54 68 84 98 108 110 122 140 150 152	904040587290