Prime p₀= 2316539128158743627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: JonS
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2316538243577814301	0 16 22 100 108 178 222 282 286 346 390 460 468 546 552 568	-884580929326
SPT(16)	2316538555449178187	0 36 66 80 96 110 116 140 222 246 252 266 282 296 326 362	-572709565440
SPT(16)	2316538620809792387	0 26 60 66 74 86 110 164 186 240 264 276 284 290 324 350	-507348951240
TPT(14)	2316538781210071421	0 2 120 122 150 152 180 182 276 278 306 308 330 332	-346948672206
STPT(10)	2316538947086330567	0 2 42 44 72 74 102 104 144 146	-181072413060
STPT(10)	2316539019821483801	0 2 36 38 78 80 120 122 156 158	-108337259826
SPT(16)	2316539140523812441	0 18 40 42 58 66 100 108 130 138 172 180 196 198 220 238	12365068814
SPT(16)	2316539293332860879	0 2 8 24 38 48 50 162 260 372 374 384 398 414 420 422	165174117252
STPT(10)	2316539468582751749	0 2 30 32 120 122 210 212 240 242	340424008122
SPT(16)	2316539796610842193	0 10 30 40 46 48 54 76 108 130 136 138 144 154 174 184	668452098566
SPT(16)	2316539910114025021	0 40 60 76 82 88 90 132 136 178 180 186 192 208 228 268	781955281394