Prime p₀= 2727147623095553657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Roadranner
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2727146541053740681	0 10 12 16 42 88 96 108 130 142 150 196 222 226 228 238	-1082041812976
SPT(16)	2727146626372337723	0 36 50 60 74 80 116 140 144 168 204 210 224 234 248 284	-996723215934
SPT(16)	2727146636983738223	0 8 24 114 128 146 158 168 206 216 228 246 260 350 366 374	-986111815434
STPT(10)	2727146777343933611	0 2 30 32 120 122 210 212 240 242	-845751620046
STPT(10)	2727147436860821669	0 2 30 32 60 62 90 92 120 122	-186234731988
STPT(10)	2727147503869332077	0 2 30 32 120 122 210 212 240 242	-119226221580
STPT(10)	2727147635747879129	0 2 30 32 60 62 90 92 120 122	12652325472
SPT(16)	2727147976872632459	0 32 80 90 104 110 132 182 240 290 312 318 332 342 390 422	353777078802
SPT(16)	2727148188385378271	0 2 12 42 66 68 98 108 140 150 180 182 206 236 246 248	565289824614
SPT(16)	2727148416190799837	0 20 32 84 110 150 162 164 372 374 386 426 452 504 516 536	793095246180
STPT(10)	2727148521527880251	0 2 6 8 48 50 90 92 96 98	898432326594