Prime p₀= 1142344274697284999 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: Alnitak2019
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1142343051648130217	0 2 30 32 42 44 54 56 84 86	-1223049154782
SPT(16)	1142343160788531301	0 78 88 90 130 138 172 208 252 288 322 330 370 372 382 460	-1113908753698
SPT(16)	1142343802397916401	0 2 12 26 56 66 98 110 138 150 182 192 222 236 246 248	-472299368598
STPT(10)	1142343855380163977	0 2 30 32 72 74 114 116 144 146	-419317121022
SPT(16)	1142344022929369451	0 48 66 90 98 126 168 228 248 308 350 378 386 410 428 476	-251767915548
SPT(16)	1142344159774931999	0 12 18 44 72 90 114 120 152 158 182 200 228 254 260 272	-114922353000
SPT(20)	1142344318866558733	0 18 24 58 78 100 126 136 144 150 154 160 168 178 204 226 246 280 286 304	44169273734
SPT(16)	1142344558166344261	0 66 72 100 138 156 178 186 232 240 262 280 318 346 352 418	283469059262
SPT(16)	1142344616447445571	0 12 30 70 72 88 102 118 180 196 210 226 228 268 286 298	341750160572
SPT(16)	1142344775192102431	0 42 52 60 66 70 76 82 96 102 108 112 118 126 136 178	500494817432
STPT(10)	1142344889141200049	0 2 42 44 90 92 138 140 180 182	614443915050