Prime p₀= 2178842783456832527 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Penguin
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2178839597880805859	0 20 42 72 182 240 290 294 380 384 434 492 602 632 654 674	-3185576026668
SPT(16)	2178839746424924827	0 12 24 46 76 82 90 100 126 136 144 150 180 202 214 226	-3037031907700
STPT(10)	2178840808531393619	0 2 18 20 30 32 42 44 60 62	-1974925438908
STPT(10)	2178840964597498889	0 2 78 80 120 122 162 164 240 242	-1818859333638
STPT(10)	2178841817918728847	0 2 42 44 132 134 222 224 264 266	-965538103680
STPT(10)	2178841973772352751	0 2 30 32 78 80 126 128 156 158	-809684479776
SPT(16)	2178843041064535871	0 36 60 62 86 146 182 212 216 246 282 342 366 368 392 428	257607703344
SPT(16)	2178843508209300643	0 36 58 64 88 156 184 204 250 270 298 366 390 396 418 454	724752468116
SPT(16)	2178843790967781089	0 8 14 32 38 78 110 120 122 132 164 204 210 228 234 242	1007510948562
SPT(16)	2178843951528501091	0 22 76 106 120 130 142 148 240 246 258 268 282 312 366 388	1168071668564
STPT(10)	2178844076042346857	0 2 42 44 72 74 102 104 144 146	1292585514330