Prime p₀= 1257857764035010727 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: Theadalus
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1257856381963421677	0 10 24 30 34 52 76 82 84 90 114 132 136 142 156 166	-1382071589050
SPT(13)	1257856483310439601	0 12 18 30 78 102 120 138 162 210 222 228 240	-1280724571126
STPT(10)	1257856910824244777	0 2 12 14 72 74 132 134 144 146	-853210765950
TPT(16)	1257857237604708329	0 2 162 164 210 212 222 224 240 242 252 254 402 404 408 410	-526430302398
SPT(18)	1257857457043886653	0 48 66 76 166 174 184 196 268 276 348 360 370 378 468 478 496 544	-306991124074
SPT(16)	1257857712658634779	0 28 48 90 102 112 142 160 180 198 228 238 250 292 312 340	-51376375948
STPT(10)	1257858344747407367	0 2 30 32 42 44 54 56 84 86	580712396640
SPT(16)	1257858350407857427	0 34 54 60 76 106 120 144 196 220 234 264 280 286 306 340	586372846700
TPT(14)	1257858593610472409	0 2 48 50 90 92 150 152 162 164 342 344 348 350	829575461682
TPT(14)	1257859458796977719	0 2 72 74 90 92 138 140 180 182 198 200 270 272	1694761966992
STPT(10)	1257859530270297209	0 2 12 14 90 92 168 170 180 182	1766235286482