Prime p₀= 1146412177014100691 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Theadalus
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1146410201720210983	0 10 78 84 106 108 114 136 138 160 166 168 190 196 264 274	-1975293889708
SPT(16)	1146410682074763757	0 10 42 46 60 64 84 112 144 172 192 196 210 214 246 256	-1494939336934
SPT(16)	1146410729825739449	0 18 84 120 122 128 168 170 192 194 234 240 242 278 344 362	-1447188361242
TPT(14)	1146410758109433821	0 2 30 32 90 92 186 188 210 212 240 242 336 338	-1418904666870
STPT(10)	1146411259541068817	0 2 30 32 102 104 174 176 204 206	-917473031874
SPT(16)	1146412044530910107	0 30 42 74 84 86 212 240 266 294 420 422 432 464 476 506	-132483190584
STPT(10)	1146412189180945781	0 2 6 8 48 50 90 92 96 98	12166845090
SPT(16)	1146412252903894309	0 12 40 72 78 90 130 172 240 282 322 334 340 372 400 412	75889793618
STPT(10)	1146412290760936049	0 2 48 50 90 92 132 134 180 182	113746835358
STPT(10)	1146412526165341637	0 2 42 44 72 74 102 104 144 146	349151240946
SPT(16)	1146412651225366127	0 30 74 140 162 252 270 276 380 386 404 494 516 582 626 656	474211265436