Prime p₀= 2105976128578111637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Time_Traveler
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2105975579805197687	0 2 30 32 72 74 114 116 144 146	-548772913950
STPT(10)	2105975637688014689	0 2 42 44 60 62 78 80 120 122	-490890096948
SPT(16)	2105975656209388039	0 72 108 114 130 138 160 174 178 192 214 222 238 244 280 352	-472368723598
TPT(14)	2105975745141194471	0 2 30 32 138 140 156 158 270 272 276 278 306 308	-383436917166
SPT(16)	2105975940492632933	0 18 50 74 114 128 134 156 158 180 186 200 240 264 296 314	-188085478704
SPT(16)	2105976063669399547	0 52 54 70 96 126 142 156 160 174 190 220 246 262 264 316	-64908712090
STPT(10)	2105976326675155811	0 2 30 32 60 62 90 92 120 122	198097044174
STPT(10)	2105976597629711531	0 2 6 8 48 50 90 92 96 98	469051599894
SPT(16)	2105977396678629563	0 14 56 104 126 140 144 180 224 260 264 278 300 348 390 404	1268100517926
TPT(14)	2105978689524424259	0 2 18 20 30 32 42 44 108 110 150 152 198 200	2560946312622
SPT(16)	2105978900988858587	0 2 14 60 72 80 84 116 150 182 186 194 206 252 264 266	2772410746950