Prime p₀= 2770628668623425669 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Groo
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2770627047837098267	0 24 42 60 104 110 114 140 156 182 186 192 236 254 272 296	-1620786327402
STPT(10)	2770627268703769217	0 2 12 14 42 44 72 74 84 86	-1399919656452
SPT(16)	2770627281921953557	0 4 24 46 126 130 160 202 204 246 276 280 360 382 402 406	-1386701472112
SPT(16)	2770627909401242249	0 14 24 90 102 108 150 240 242 332 374 380 392 458 468 482	-759222183420
STPT(10)	2770628215085908277	0 2 60 62 72 74 84 86 144 146	-453537517392
SPT(16)	2770628603951712733	0 6 54 84 154 180 190 216 334 360 370 396 466 496 544 550	-64671712936
SPT(16)	2770628694193714513	0 24 48 64 70 78 150 216 238 304 376 384 390 406 430 454	25570288844
SPT(16)	2770628782395168281	0 48 60 68 72 90 116 146 192 222 248 266 270 278 290 338	113771742612
SPT(16)	2770628806297760521	0 28 36 46 70 112 120 126 142 148 156 198 222 232 240 268	137674334852
STPT(10)	2770629149585839037	0 2 12 14 42 44 72 74 84 86	480962413368
SPT(16)	2770629211269906793	0 34 36 78 100 108 136 154 240 258 286 294 316 358 360 394	542646481124