Prime p₀= 2179173258822512261 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 40 2 40 2 124 2 (?)
a_n: 0 2 126 128 168 170 210 212 336 338
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: 338
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 124 2 40 2

SPT(16)	2179172135079291707	0 32 54 60 62 116 146 180 236 270 300 354 356 362 384 416	-1123743220554
TPT(14)	2179172189302655399	0 2 72 74 108 110 138 140 150 152 210 212 312 314	-1069519856862
SPT(16)	2179172241008545733	0 26 66 104 110 126 140 164 240 264 278 294 300 338 378 404	-1017813966528
SPT(16)	2179172608751121469	0 10 40 48 52 70 78 82 150 154 162 180 184 192 222 232	-650071390792
STPT(10)	2179173177835317407	0 2 42 44 72 74 102 104 144 146	-80987194854
SPT(16)	2179173201722742839	0 50 104 152 164 188 210 234 248 272 294 318 330 378 432 482	-57099769422
STPT(10)	2179173309745808447	0 2 30 32 42 44 54 56 84 86	50923296186
SPT(13)	2179173617322677467	0 30 60 66 72 150 156 162 240 246 252 282 312	358500165206
SPT(16)	2179173618717370081	0 28 36 42 58 66 108 132 136 160 202 210 226 232 240 268	359894857820
STPT(10)	2179173749406081677	0 2 30 32 42 44 54 56 84 86	490583569416
SPT(16)	2179173785093005297	0 4 10 16 34 64 70 84 136 150 156 186 204 210 216 220	526270493036