Prime p₀= 1267391351492328989 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Megacruncher
db: batch=77, k=10, 2 10 2 76 2

SPT(16)	1267389869159627581	0 12 78 106 168 190 202 208 210 216 228 250 312 340 406 418	-1482332701408
SPT(16)	1267390295101361281	0 30 76 88 120 132 138 162 166 190 196 208 240 252 298 328	-1056390967708
STPT(10)	1267390717957087811	0 2 6 8 48 50 90 92 96 98	-633535241178
TPT(14)	1267390783812984599	0 2 72 74 192 194 198 200 222 224 378 380 420 422	-567679344390
STPT(10)	1267390846925665289	0 2 18 20 60 62 102 104 120 122	-504566663700
SPT(16)	1267390998540884221	0 6 132 138 156 198 226 268 270 312 340 382 400 406 532 538	-352951444768
SPT(16)	1267391414807185883	0 18 20 48 54 80 98 108 140 150 168 194 200 228 230 248	63314856894
STPT(10)	1267391951052018887	0 2 30 32 42 44 54 56 84 86	599559689898
SPT(16)	1267391980655440931	0 2 12 20 62 68 78 90 98 110 120 126 168 176 186 188	629163111942
SPT(16)	1267392382840295347	0 4 54 72 114 142 154 184 210 240 252 280 322 340 390 394	1031347966358
STPT(10)	1267392517539138239	0 2 18 20 30 32 42 44 60 62	1166046809250