Prime p₀= 2813272950782781239 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: Coleslaw
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2813270629258761569	0 32 50 78 98 132 140 162 170 192 200 234 254 282 300 332	-2321524019670
TPT(14)	2813271657688829567	0 2 42 44 60 62 84 86 102 104 114 116 222 224	-1293093951672
SPT(16)	2813272002735195283	0 18 24 60 84 94 100 120 184 204 210 220 244 280 286 304	-948047585956
TPT(14)	2813272136944943081	0 2 18 20 78 80 168 170 258 260 270 272 300 302	-813837838158
STPT(10)	2813272204517492747	0 2 30 32 42 44 54 56 84 86	-746265288492
STPT(10)	2813272853940144611	0 2 36 38 78 80 120 122 156 158	-96842636628
STPT(10)	2813274466519159787	0 2 42 44 72 74 102 104 144 146	1515736378548
STPT(10)	2813274730620710561	0 2 6 8 18 20 30 32 36 38	1779837929322
SPT(16)	2813275996002177187	0 4 6 40 72 76 96 102 154 160 180 184 216 250 252 256	3045219395948
SPT(16)	2813276238198580069	0 18 84 90 94 100 142 174 238 270 312 318 322 328 394 412	3287415798830
SPT(16)	2813277645036360877	0 4 16 36 72 90 114 126 190 202 226 244 280 300 312 316	4694253579638