Prime p₀= 4305602610107267267 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: Chooka
db: batch=85, k=10, 2 28 2 10 2

SPT(16)	4305601909524628093	0 24 34 58 94 108 120 148 336 364 376 390 426 450 460 484	-700582639174
SPT(16)	4305601997145755021	0 8 50 140 218 228 240 266 330 356 368 378 456 546 588 596	-612961512246
STPT(10)	4305602034016829729	0 2 78 80 120 122 162 164 240 242	-576090437538
STPT(10)	4305602201914426079	0 2 18 20 30 32 42 44 60 62	-408192841188
STPT(10)	4305602243869398221	0 2 36 38 78 80 120 122 156 158	-366237869046
TPT(14)	4305602463530079839	0 2 30 32 78 80 162 164 180 182 240 242 288 290	-146577187428
SPT(16)	4305602700329694343	0 6 76 84 100 126 138 184 240 286 298 324 340 348 418 424	90222427076
TPT(14)	4305602957126746391	0 2 18 20 96 98 156 158 186 188 210 212 228 230	347019479124
SPT(16)	4305603101383654237	0 6 10 40 46 60 76 82 144 150 166 180 186 216 220 226	491276386970
STPT(10)	4305603271110882281	0 2 30 32 78 80 126 128 156 158	661003615014
STPT(10)	4305603395317464041	0 2 6 8 48 50 90 92 96 98	785210196774