Prime p₀= 2731831669427939537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2731829132316848027	0 2 24 44 50 60 72 102 224 254 266 276 282 302 324 326	-2537111091510
SPT(16)	2731829339923310279	0 2 24 30 78 92 98 120 212 234 240 254 302 308 330 332	-2329504629258
SPT(16)	2731829398431078103	0 58 120 124 156 174 190 208 246 264 280 298 330 334 396 454	-2270996861434
SPT(16)	2731830203982620981	0 36 50 60 66 78 102 120 188 206 230 242 248 258 272 308	-1465445318556
STPT(10)	2731830897955411139	0 2 18 20 30 32 42 44 60 62	-771472528398
SPT(16)	2731831053164155049	0 8 18 20 72 74 90 104 228 242 258 260 312 314 324 332	-616263784488
SPT(16)	2731831943852691079	0 24 30 72 108 138 142 180 292 330 334 364 400 442 448 472	274424751542
SPT(16)	2731832473798255403	0 44 50 56 60 104 146 170 174 198 240 284 288 294 300 344	804370315866
SPT(16)	2731832766201438143	0 44 56 66 84 104 114 156 158 200 210 230 248 258 270 314	1096773498606
SPT(16)	2731832820327704579	0 50 54 68 104 128 140 150 278 288 300 324 360 374 378 428	1150899765042
SPT(16)	2731833092083723513	0 6 34 70 106 124 130 160 174 204 210 228 264 300 328 334	1422655783976