Prime p₀= 2501768600835513857 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)	2501767375246350301	0 10 100 126 168 180 198 216 220 238 256 268 310 336 426 436	-1225589163556
STPT(10)	2501767833391297319	0 2 30 32 60 62 90 92 120 122	-767444216538
STPT(10)	2501767853653327067	0 2 54 56 72 74 90 92 144 146	-747182186790
SPT(16)	2501768087339234239	0 10 22 60 82 120 138 144 148 154 172 210 232 270 282 292	-513496279618
SPT(16)	2501768107693458509	0 14 24 54 78 80 92 132 170 210 222 224 248 278 288 302	-493142055348
STPT(10)	2501768369088572501	0 2 30 32 78 80 126 128 156 158	-231746941356
SPT(16)	2501768756402347123	0 4 6 48 58 60 66 76 108 118 124 126 136 178 180 184	155566833266
STPT(10)	2501768901379682489	0 2 42 44 60 62 78 80 120 122	300544168632
SPT(18)	2501769005157465779	0 32 42 80 164 170 264 290 294 308 312 338 432 438 522 560 570 602	404321951922
TPT(14)	2501769605642679959	0 2 12 14 30 32 108 110 138 140 198 200 228 230	1004807166102
SPT(16)	2501769636014425841	0 18 36 38 42 96 110 116 162 168 182 236 240 242 260 278	1035178911984