Prime p₀= 820887178055473301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 58 2 58 2 46 2 (?)
a_n: 0 2 48 50 108 110 168 170 216 218
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: 218
Found by: MarkRBright
db: batch=73, k=10, 2 46 2 58 2

SPT(20)	820883603880005063	0 6 24 26 38 56 66 110 128 146 258 276 294 338 348 366 378 380 398 404	-3574175468238
TPT(14)	820884360561705161	0 2 36 38 78 80 126 128 138 140 198 200 210 212	-2817493768140
STPT(10)	820884456820712129	0 2 18 20 30 32 42 44 60 62	-2721234761172
STPT(10)	820885106563368947	0 2 42 44 72 74 102 104 144 146	-2071492104354
STPT(10)	820885412782789727	0 2 90 92 102 104 114 116 204 206	-1765272683574
TPT(14)	820886793224970149	0 2 12 14 30 32 60 62 108 110 138 140 210 212	-384830503152
SPT(16)	820887742371547351	0 28 76 106 118 190 238 268 300 330 378 450 462 492 540 568	564316074050
SPT(16)	820887795161160157	0 70 112 114 142 144 172 204 292 324 352 354 382 384 426 496	617105686856
SPT(16)	820887901651500073	0 4 6 10 24 46 66 84 100 118 138 160 174 178 180 184	723596026772
TPT(14)	820887907420167317	0 2 12 14 90 92 120 122 150 152 162 164 174 176	729364694016
SPT(16)	820888033059010957	0 10 24 34 36 42 46 94 102 150 154 160 162 172 186 196	855003537656