Prime p₀= 2531030921621865329 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: [SG-FC] hl
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2531028847639504777	0 4 102 132 154 186 204 246 340 382 400 432 454 484 582 586	-2073982360552
STPT(10)	2531028945733339097	0 2 54 56 72 74 90 92 144 146	-1975888526232
TPT(14)	2531029058369394377	0 2 12 14 42 44 222 224 240 242 264 266 324 326	-1863252470952
SPT(16)	2531029101594132749	0 2 12 98 110 168 198 210 212 224 254 312 324 410 420 422	-1820027732580
SPT(16)	2531029163080180409	0 14 38 48 50 54 78 80 138 140 164 168 170 180 204 218	-1758541684920
SPT(16)	2531029863952518977	0 12 20 26 72 74 114 122 174 182 222 224 270 276 284 296	-1057669346352
SPT(16)	2531030932661794141	0 36 46 60 126 130 138 148 150 160 168 172 238 252 262 298	11039928812
SPT(16)	2531030953148196833	0 6 26 38 66 74 104 138 146 180 210 218 246 258 278 284	31526331504
STPT(10)	2531031806377210229	0 2 30 32 60 62 90 92 120 122	884755344900
STPT(10)	2531031921563043929	0 2 30 32 60 62 90 92 120 122	999941178600
SPT(16)	2531032101586062037	0 10 120 124 186 204 244 250 300 306 346 364 426 430 540 550	1179964196708