Prime p₀= 1246836044655561299 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: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1246834773524143709	0 2 42 44 90 92 138 140 180 182	-1271131417590
SPT(16)	1246834961710464569	0 2 20 42 78 92 98 104 198 204 210 224 260 282 300 302	-1082945096730
TPT(14)	1246835046955642721	0 2 66 68 78 80 96 98 108 110 120 122 126 128	-997699918578
SPT(16)	1246835270955155599	0 4 18 40 72 100 130 138 274 282 312 340 372 394 408 412	-773700405700
SPT(16)	1246835368484405899	0 40 42 52 138 154 184 220 222 258 288 304 390 400 402 442	-676171155400
STPT(10)	1246835638642525427	0 2 12 14 42 44 72 74 84 86	-406013035872
STPT(10)	1246836226690812029	0 2 18 20 30 32 42 44 60 62	182035250730
SPT(16)	1246836263563980953	0 30 68 140 230 264 294 308 330 344 374 408 498 570 608 638	218908419654
STPT(10)	1246836563716548359	0 2 42 44 60 62 78 80 120 122	519060987060
SPT(16)	1246836808342436173	0 4 18 24 70 90 120 150 154 184 214 234 280 286 300 304	763686874874
SPT(16)	1246836962467867151	0 12 42 56 80 90 110 138 140 168 188 198 222 236 266 278	917812305852