Prime p₀= 1292193194011005887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

SPT(13)	1292192385332244421	0 42 60 90 126 132 186 240 246 282 312 330 372	-808678761466
SPT(16)	1292192498050807663	0 6 10 24 30 46 114 136 168 190 258 274 280 294 298 304	-695960198224
STPT(12)	1292192530467180497	0 2 42 44 84 86 150 152 192 194 234 236	-663543825390
SPT(16)	1292192581751486689	0 22 30 60 70 72 138 148 162 172 238 240 250 280 288 310	-612259519198
SPT(16)	1292192670203918531	0 12 26 32 86 98 168 272 276 380 450 462 516 522 536 548	-523807087356
TPT(14)	1292192809685713517	0 2 24 26 30 32 72 74 234 236 294 296 330 332	-384325292370
SPT(16)	1292193310806435311	0 30 68 72 96 108 150 152 156 158 200 212 236 240 278 308	116795429424
STPT(10)	1292193736637611079	0 2 18 20 30 32 42 44 60 62	542626605192
STPT(10)	1292193756237668069	0 2 30 32 60 62 90 92 120 122	562226662182
STPT(10)	1292193763265046281	0 2 6 8 48 50 90 92 96 98	569254040394
STPT(10)	1292193800085928709	0 2 12 14 30 32 48 50 60 62	606074922822