Prime p₀= 1079713199220973649 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: stoneageman
db: batch=76, k=10, 2 10 2 76 2

STPT(12)	1079712251667369491	0 2 6 8 78 80 138 140 210 212 216 218	-947553604158
SPT(16)	1079712538908024017	0 6 86 110 120 152 176 182 210 216 240 272 282 306 386 392	-660312949632
TPT(14)	1079713010483937119	0 2 42 44 78 80 108 110 138 140 210 212 288 290	-188737036530
STPT(10)	1079713066625703581	0 2 30 32 78 80 126 128 156 158	-132595270068
SPT(16)	1079713125596648623	0 16 34 40 120 124 126 148 216 238 240 244 324 330 348 364	-73624325026
SPT(16)	1079713128809275217	0 54 60 110 144 180 186 246 284 344 350 386 420 470 476 530	-70411698432
STPT(10)	1079713678694414471	0 2 36 38 78 80 120 122 156 158	479473440822
TPT(14)	1079713905461593469	0 2 12 14 138 140 168 170 222 224 240 242 300 302	706240619820
SPT(16)	1079714597670807577	0 12 34 52 72 76 94 100 216 222 240 244 264 282 304 316	1398449833928
STPT(10)	1079714722837997339	0 2 18 20 30 32 42 44 60 62	1523617023690
STPT(10)	1079714918415690251	0 2 36 38 78 80 120 122 156 158	1719194716602