Prime p₀= 1212045288313135481 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Megacruncher
db: batch=77, k=10, 2 4 2 10 2

STPT(10)	1212044692729827959	0 2 30 32 60 62 90 92 120 122	-595583307522
SPT(16)	1212044772507346411	0 6 12 76 106 138 156 210 238 292 310 342 372 436 442 448	-515805789070
STPT(10)	1212044843848358489	0 2 12 14 30 32 48 50 60 62	-444464776992
STPT(10)	1212044907561034199	0 2 30 32 120 122 210 212 240 242	-380752101282
SPT(18)	1212045234806278867	0 22 54 64 66 82 124 130 150 166 186 192 234 250 252 262 294 316	-53506856614
STPT(10)	1212045259337635571	0 2 30 32 60 62 90 92 120 122	-28975499910
SPT(16)	1212045517949099369	0 20 54 78 134 188 222 258 314 350 384 438 494 518 552 572	229635963888
SPT(16)	1212045600156370783	0 4 30 40 124 144 154 166 228 240 250 270 354 364 390 394	311843235302
STPT(10)	1212045632708160707	0 2 30 32 72 74 114 116 144 146	344395025226
SPT(16)	1212045681459119209	0 22 24 52 82 148 174 204 208 238 264 330 360 388 390 412	393145983728
STPT(12)	1212045827818472279	0 2 12 14 42 44 48 50 78 80 90 92	539505336798