Prime p₀= 2802329648547443627 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2802327506004888599	0 2 48 50 90 92 132 134 180 182	-2142542555028
SPT(16)	2802327770491988003	0 30 68 96 104 126 146 156 248 258 278 300 308 336 374 404	-1878055455624
SPT(16)	2802328310583568631	0 8 12 18 20 30 60 78 152 170 200 210 212 218 222 230	-1337963874996
STPT(12)	2802328422587146457	0 2 30 32 54 56 90 92 114 116 144 146	-1225960297170
SPT(16)	2802328803832096817	0 42 50 62 80 146 150 152 174 176 180 246 264 276 284 326	-844715346810
SPT(16)	2802329632225995877	0 52 64 70 96 102 144 150 166 172 214 220 246 252 264 316	-16321447750
STPT(10)	2802329747122825037	0 2 24 26 42 44 60 62 84 86	98575381410
SPT(16)	2802329851125686173	0 6 40 76 78 94 106 118 336 348 360 376 378 414 448 454	202578242546
STPT(10)	2802330075408892979	0 2 18 20 30 32 42 44 60 62	426861449352
SPT(16)	2802330085204861889	0 12 20 32 44 62 90 104 150 164 192 210 222 234 242 254	436657418262
SPT(16)	2802330198536079119	0 12 90 102 104 138 198 210 242 254 314 348 350 362 440 452	549988635492