Prime p₀= 1058144580805562219 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Theadalus
db: batch=76, k=10, 2 10 2 16 2

STPT(10)	1058143716628005989	0 2 18 20 60 62 102 104 120 122	-864177556230
SPT(16)	1058143925962963811	0 2 6 20 56 72 86 90 122 126 140 156 192 206 210 212	-654842598408
SPT(16)	1058144255703464311	0 16 46 78 96 100 106 132 196 222 228 232 250 282 312 328	-325102097908
TPT(14)	1058144354216564357	0 2 12 14 72 74 84 86 114 116 120 122 162 164	-226588997862
SPT(16)	1058144478379965409	0 52 54 88 94 108 124 130 132 138 154 168 174 208 210 262	-102425596810
STPT(10)	1058144503852372631	0 2 120 122 210 212 300 302 420 422	-76953189588
SPT(16)	1058144898131950103	0 14 24 56 114 144 146 150 164 168 170 200 258 290 300 314	317326387884
SPT(16)	1058145054420571141	0 6 12 36 126 142 160 220 222 282 300 316 406 430 436 442	473615008922
STPT(10)	1058145444447052847	0 2 30 32 72 74 114 116 144 146	863641490628
SPT(16)	1058145930145988251	0 16 22 46 138 162 166 168 250 252 256 280 372 396 402 418	1349340426032
SPT(16)	1058145930397114409	0 12 42 44 74 152 224 230 252 258 330 408 438 440 470 482	1349591552190