Prime p₀= 2736001170635561357 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2735999546939825851	0 60 112 156 196 208 216 220 258 262 270 282 322 366 418 478	-1623695735506
TPT(14)	2735999743272962807	0 2 84 86 210 212 222 224 240 242 324 326 342 344	-1427362598550
SPT(16)	2735999876676203077	0 42 76 100 120 154 166 180 226 240 252 286 306 330 364 406	-1293959358280
STPT(12)	2735999940498643067	0 2 12 14 60 62 84 86 132 134 144 146	-1230136918290
SPT(16)	2736000465093005683	0 6 34 100 108 130 166 184 210 228 264 286 294 360 388 394	-705542555674
SPT(16)	2736001132567791149	0 14 42 48 54 62 132 180 182 230 300 308 314 320 348 362	-38067770208
SPT(16)	2736001272673403447	0 30 60 72 86 126 150 164 192 206 230 270 284 296 326 356	102037842090
STPT(10)	2736001328264962757	0 2 24 26 42 44 60 62 84 86	157629401400
SPT(16)	2736001691131298999	0 2 8 14 50 68 114 132 170 188 234 252 288 294 300 302	520495737642
TPT(14)	2736002373269351447	0 2 42 44 60 62 72 74 162 164 204 206 240 242	1202633790090
SPT(16)	2736002537388474259	0 28 42 58 72 78 100 124 138 162 184 190 204 220 234 262	1366752912902