Prime p₀= 2950506833090884097 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: Landjunge
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2950505099607292847	0 20 60 90 104 132 152 174 182 204 224 252 266 296 336 356	-1733483591250
TPT(14)	2950505180698953347	0 2 72 74 120 122 150 152 162 164 240 242 264 266	-1652391930750
STPT(10)	2950505451191649047	0 2 30 32 72 74 114 116 144 146	-1381899235050
STPT(10)	2950506026666801039	0 2 48 50 90 92 132 134 180 182	-806424083058
STPT(10)	2950506314610606119	0 2 18 20 30 32 42 44 60 62	-518480277978
SPT(16)	2950506632451416141	0 26 38 110 126 132 168 182 186 200 236 242 258 330 342 368	-200639467956
STPT(10)	2950507133633624861	0 2 6 8 18 20 30 32 36 38	300542740764
SPT(16)	2950507147850277443	0 84 96 98 110 116 176 200 264 288 348 354 366 368 380 464	314759393346
SPT(16)	2950507380740438549	0 32 42 62 90 92 120 128 162 170 198 200 228 248 258 290	547649554452
STPT(10)	2950507474326200021	0 2 30 32 78 80 126 128 156 158	641235315924
STPT(12)	2950507479283660607	0 2 24 26 54 56 120 122 150 152 174 176	646192776510