Prime p₀= 2688045405176032511 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: JayPi
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	2688045069333072487	0 12 22 24 42 84 106 136 210 240 262 304 322 324 334 346	-335842960024
STPT(10)	2688045147850354067	0 2 12 14 42 44 72 74 84 86	-257325678444
STPT(10)	2688045214980140831	0 2 6 8 48 50 90 92 96 98	-190195891680
SPT(16)	2688045279167308253	0 18 36 84 90 140 144 146 198 200 204 254 260 308 326 344	-126008724258
TPT(14)	2688045299916042401	0 2 18 20 30 32 60 62 96 98 126 128 156 158	-105259990110
SPT(16)	2688045393489860861	0 20 156 212 216 228 240 246 392 398 410 422 426 482 618 638	-11686171650
SPT(18)	2688045645488553341	0 8 36 38 80 90 116 140 150 176 186 210 236 246 288 290 318 326	240312520830
STPT(10)	2688045741563931557	0 2 30 32 42 44 54 56 84 86	336387899046
SPT(16)	2688046301415966703	0 6 34 36 64 76 78 130 144 196 198 210 238 240 268 274	896239934192
TPT(14)	2688047505955709867	0 2 12 14 132 134 144 146 222 224 264 266 312 314	2100779677356
SPT(18)	2688048471731885401	0 6 10 40 46 66 88 130 138 208 216 258 280 300 306 336 340 346	3066555852890