Prime p₀= 1016255214001679537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Theadalus
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1016254192178086171	0 18 70 90 112 118 142 162 226 246 270 276 298 318 370 388	-1021823593366
SPT(16)	1016254317256716127	0 64 90 102 106 120 162 186 220 244 286 300 304 316 342 406	-896744963410
SPT(16)	1016254396321804853	0 6 14 36 44 78 98 110 114 126 146 180 188 210 218 224	-817679874684
SPT(16)	1016254458969127793	0 18 44 74 86 104 116 156 158 198 210 228 240 270 296 314	-755032551744
SPT(16)	1016254752995166827	0 24 30 42 44 192 200 234 302 336 344 492 494 506 512 536	-461006512710
STPT(10)	1016255165647573211	0 2 6 8 48 50 90 92 96 98	-48354106326
STPT(10)	1016255310969969839	0 2 18 20 30 32 42 44 60 62	96968290302
STPT(10)	1016255466819675749	0 2 18 20 30 32 42 44 60 62	252817996212
TPT(14)	1016255584802939051	0 2 48 50 126 128 156 158 228 230 240 242 258 260	370801259514
SPT(16)	1016256030727393033	0 28 34 40 48 58 78 118 120 160 180 190 198 204 210 238	816725713496
STPT(10)	1016256265641744077	0 2 30 32 42 44 54 56 84 86	1051640064540