Prime p₀= 2886789309613333121 starts a Symmetric tuple of 16 consecutive primes, which form 8 twin primes (STPT).
d_n: 0 2 28 2 16 2 10 2 64 2 10 2 16 2 28 2 (?)
a_n: 0 2 30 32 48 50 60 62 126 128 138 140 156 158 186 188
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 188
Found by: Roadranner
db: batch=82, k=16, 2 28 2 16 2 10 2 64

SPT(16)	2886788410651470113	0 20 24 26 48 54 66 74 90 98 110 116 138 140 144 164	-898961863008
STPT(10)	2886788956852744421	0 2 30 32 78 80 126 128 156 158	-352760588700
STPT(10)	2886789058640078087	0 2 12 14 42 44 72 74 84 86	-250973255034
STPT(10)	2886789097484341529	0 2 18 20 30 32 42 44 60 62	-212128991592
SPT(16)	2886789135986695879	0 18 30 162 192 198 214 234 238 258 274 280 310 442 454 472	-173626637242
SPT(18)	2886789309613333073	0 48 50 78 80 96 98 108 110 174 176 186 188 204 206 234 236 284	-48
TPT(16)	2886789309613333121	0 2 30 32 48 50 60 62 126 128 138 140 156 158 186 188	0
SPT(16)	2886789390518004799	0 22 48 64 70 88 120 148 174 202 234 252 258 274 300 322	80904671678
SPT(16)	2886789402806361007	0 36 70 76 102 226 280 352 384 456 510 634 660 666 700 736	93193027886
SPT(16)	2886789513087701827	0 34 42 60 100 126 210 232 264 286 370 396 436 454 462 496	203474368706
SPT(16)	2886789558617877937	0 6 16 22 34 36 72 156 160 244 280 282 294 300 310 316	249004544816