Prime p₀= 2113051759605415997 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2113050821305145171	0 20 36 48 50 80 146 150 158 162 228 258 260 272 288 308	-938300270826
STPT(10)	2113051105256154377	0 2 30 32 42 44 54 56 84 86	-654349261620
SPT(16)	2113051125636947407	0 4 16 22 30 94 114 120 136 142 162 226 234 240 252 256	-633968468590
TPT(14)	2113051155241332989	0 2 60 62 132 134 138 140 222 224 270 272 282 284	-604364083008
STPT(10)	2113051475984857907	0 2 42 44 72 74 102 104 144 146	-283620558090
STPT(10)	2113051538519106137	0 2 30 32 120 122 210 212 240 242	-221086309860
SPT(16)	2113051995183759691	0 40 70 78 90 96 196 202 216 222 322 328 340 348 378 418	235578343694
SPT(16)	2113052204756641397	0 6 20 86 96 132 156 162 230 236 260 296 306 372 386 392	445151225400
STPT(10)	2113052224562944079	0 2 48 50 60 62 72 74 120 122	464957528082
TPT(14)	2113052237574445379	0 2 18 20 60 62 90 92 102 104 132 134 168 170	477969029382
SPT(16)	2113052511492864967	0 16 34 36 64 90 106 114 166 174 190 216 244 246 264 280	751887448970