Prime p₀= 1179252451880755697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: biodoc
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1179251501918579597	0 56 72 120 224 252 266 270 296 300 314 342 446 494 510 566	-949962176100
SPT(16)	1179251532898741573	0 34 40 108 120 168 174 190 234 250 256 304 316 384 390 424	-918982014124
SPT(16)	1179251618546109809	0 8 32 42 44 54 122 138 224 240 308 318 320 330 354 362	-833334645888
STPT(12)	1179251949787613699	0 2 18 20 30 32 60 62 72 74 90 92	-502093141998
STPT(10)	1179251955535333619	0 2 18 20 30 32 42 44 60 62	-496345422078
SPT(16)	1179252151415458489	0 18 28 54 130 144 150 168 304 322 328 342 418 444 454 472	-300465297208
SPT(16)	1179252748230658319	0 8 32 50 54 72 84 102 110 128 140 158 162 180 204 212	296349902622
STPT(10)	1179252770899248317	0 2 24 26 42 44 60 62 84 86	319018492620
SPT(16)	1179252906602837377	0 42 72 112 114 132 142 156 220 234 244 262 264 304 334 376	454722081680
STPT(10)	1179253041629002187	0 2 12 14 42 44 72 74 84 86	589748246490
SPT(13)	1179253269821020091	0 12 42 60 66 90 96 102 126 132 150 180 192	817940264394