Prime p₀= 2580719156265276149 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: [SG-2W]Kurzer
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2580718546077820607	0 32 42 56 60 92 132 140 162 170 210 242 246 260 270 302	-610187455542
TPT(14)	2580718630916261987	0 2 54 56 72 74 132 134 180 182 222 224 240 242	-525349014162
SPT(18)	2580718713548858539	0 42 54 72 88 90 100 130 144 208 222 252 262 264 280 298 310 352	-442716417610
SPT(16)	2580718847375178401	0 12 38 50 66 86 92 110 138 156 162 182 198 210 236 248	-308890097748
SPT(16)	2580718921509534439	0 18 28 118 130 174 184 204 208 228 238 282 294 384 394 412	-234755741710
STPT(10)	2580718950290019389	0 2 42 44 90 92 138 140 180 182	-205975256760
SPT(16)	2580719889213233057	0 6 12 26 66 80 132 140 162 170 222 236 276 290 296 302	732947956908
SPT(16)	2580720027363556697	0 6 20 42 56 72 84 90 146 152 164 180 194 216 230 236	871098280548
SPT(16)	2580720212329667627	0 24 62 84 90 104 114 140 216 242 252 266 272 294 332 356	1056064391478
STPT(10)	2580720540033306257	0 2 30 32 72 74 114 116 144 146	1383768030108
STPT(10)	2580720542698975277	0 2 12 14 42 44 72 74 84 86	1386433699128