Prime p₀= 1412152682443299239 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: Paul
db: batch=78, k=10, 2 40 2 16 2

SPT(16)	1412151170528008831	0 42 46 76 88 126 130 172 186 228 232 270 282 312 316 358	-1511915290408
STPT(10)	1412151274487865809	0 2 18 20 30 32 42 44 60 62	-1407955433430
SPT(16)	1412151551036520677	0 12 54 96 120 140 146 152 174 180 186 206 230 272 314 326	-1131406778562
SPT(16)	1412151711049576631	0 30 32 68 72 120 138 140 180 182 200 248 252 288 290 320	-971393722608
SPT(16)	1412152321730364013	0 4 10 24 28 34 48 76 78 106 120 126 130 144 150 154	-360712935226
STPT(10)	1412152603273614869	0 2 18 20 60 62 102 104 120 122	-79169684370
TPT(14)	1412152995146923199	0 2 42 44 60 62 210 212 228 230 282 284 330 332	312703623960
SPT(16)	1412153383735239077	0 20 60 80 102 150 162 176 300 314 326 374 396 416 456 476	701291939838
STPT(10)	1412153467103434997	0 2 30 32 42 44 54 56 84 86	784660135758
STPT(10)	1412153611166091977	0 2 30 32 42 44 54 56 84 86	928722792738
SPT(16)	1412153689105233281	0 18 62 158 188 236 336 342 356 362 462 510 540 636 680 698	1006661934042