Prime p₀= 2531147225673710009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: [SG]ATA-Rolf
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	2531146691361023807	0 2 30 32 42 44 54 56 84 86	-534312686202
STPT(10)	2531146706236871867	0 2 60 62 72 74 84 86 144 146	-519436838142
STPT(10)	2531146723932036149	0 2 18 20 30 32 42 44 60 62	-501741673860
SPT(16)	2531146834681027751	0 38 90 96 102 116 132 146 192 206 222 236 242 248 300 338	-390992682258
SPT(16)	2531147081362127113	0 36 48 58 78 114 138 160 204 226 250 286 306 316 328 364	-144311582896
TPT(14)	2531147190330566627	0 2 72 74 180 182 282 284 294 296 360 362 372 374	-35343143382
SPT(16)	2531148366899035363	0 34 60 100 184 210 240 270 280 310 340 366 450 490 516 550	1141225325354
SPT(16)	2531148497247222007	0 136 156 192 240 250 280 294 322 336 366 376 424 460 480 616	1271573511998
STPT(10)	2531148527464306961	0 2 30 32 78 80 126 128 156 158	1301790596952
SPT(16)	2531148746836749757	0 4 6 40 54 76 106 132 154 180 210 232 246 280 282 286	1521163039748
SPT(16)	2531148750686199653	0 8 60 66 98 104 128 168 206 246 270 276 308 314 366 374	1525012489644