Prime p₀= 2501768369088572501 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)	2501767235226958481	0 38 96 98 122 132 158 206 252 300 326 336 360 362 420 458	-1133861614020
SPT(16)	2501767375246350301	0 10 100 126 168 180 198 216 220 238 256 268 310 336 426 436	-993842222200
STPT(10)	2501767833391297319	0 2 30 32 60 62 90 92 120 122	-535697275182
STPT(10)	2501767853653327067	0 2 54 56 72 74 90 92 144 146	-515435245434
SPT(16)	2501768087339234239	0 10 22 60 82 120 138 144 148 154 172 210 232 270 282 292	-281749338262
SPT(16)	2501768107693458509	0 14 24 54 78 80 92 132 170 210 222 224 248 278 288 302	-261395113992
STPT(10)	2501768600835513857	0 2 12 14 42 44 72 74 84 86	231746941356
SPT(16)	2501768756402347123	0 4 6 48 58 60 66 76 108 118 124 126 136 178 180 184	387313774622
STPT(10)	2501768901379682489	0 2 42 44 60 62 78 80 120 122	532291109988
SPT(18)	2501769005157465779	0 32 42 80 164 170 264 290 294 308 312 338 432 438 522 560 570 602	636068893278
TPT(14)	2501769605642679959	0 2 12 14 30 32 108 110 138 140 198 200 228 230	1236554107458