Prime p₀= 2511511180254450929 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2511510455521415377	0 40 66 94 100 142 172 186 190 204 234 276 282 310 336 376	-724733035552
STPT(10)	2511510522615711599	0 2 12 14 90 92 168 170 180 182	-657638739330
SPT(16)	2511510625792508069	0 2 44 92 98 122 132 164 168 200 210 234 240 288 330 332	-554461942860
SPT(16)	2511510838342915501	0 22 46 52 100 130 178 186 232 240 288 318 366 372 396 418	-341911535428
STPT(10)	2511510939792931619	0 2 12 14 90 92 168 170 180 182	-240461519310
STPT(10)	2511511143238065641	0 2 30 32 78 80 126 128 156 158	-37016385288
SPT(16)	2511511230304177061	0 56 78 116 120 186 206 228 290 312 332 398 402 440 462 518	50049726132
STPT(10)	2511511347464450447	0 2 30 32 42 44 54 56 84 86	167209999518
SPT(16)	2511511362699341311	0 30 46 58 72 102 168 222 226 280 346 376 390 402 418 448	182444890382
SPT(16)	2511511500243343193	0 8 60 68 96 134 180 198 206 224 270 308 336 344 396 404	319988892264
STPT(10)	2511511542667834919	0 2 18 20 60 62 102 104 120 122	362413383990