Prime p₀= 2628079636459424429 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2628078823835300351	0 20 36 42 48 50 120 138 140 158 228 230 236 242 258 278	-812624124078
SPT(16)	2628078941858945461	0 18 22 28 60 78 112 118 132 138 172 190 222 228 232 250	-694600478968
SPT(16)	2628079070311097761	0 18 28 30 40 42 52 102 106 156 166 168 178 180 190 208	-566148326668
SPT(16)	2628079403656083031	0 6 28 30 46 72 118 120 208 210 256 282 298 300 322 328	-232803341398
TPT(14)	2628079461205572917	0 2 30 32 102 104 132 134 180 182 240 242 252 254	-175253851512
STPT(10)	2628079462973909447	0 2 24 26 42 44 60 62 84 86	-173485514982
SPT(16)	2628080572330997071	0 28 46 78 100 120 138 148 228 238 256 276 298 330 348 376	935871572642
SPT(16)	2628080586646830589	0 4 52 54 70 72 84 162 172 250 262 264 280 282 330 334	950187406160
TPT(14)	2628080652931415639	0 2 12 14 42 44 60 62 72 74 138 140 198 200	1016471991210
SPT(16)	2628081288676764257	0 24 110 194 204 260 284 320 336 372 396 452 462 546 632 656	1652217339828
STPT(10)	2628081777332363657	0 2 30 32 42 44 54 56 84 86	2140872939228