Prime p₀= 2499273435767096039 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2499272263634383681	0 30 36 82 90 108 160 166 192 198 250 268 276 322 328 358	-1172132712358
STPT(10)	2499272300689331351	0 2 30 32 60 62 90 92 120 122	-1135077764688
SPT(16)	2499272507968851437	0 36 42 54 56 62 104 144 212 252 294 300 302 314 320 356	-927798244602
SPT(16)	2499272742583396699	0 12 28 40 52 54 108 142 150 184 238 240 252 264 280 292	-693183699340
SPT(16)	2499272922621698389	0 18 70 88 90 102 118 132 148 162 178 190 192 210 262 280	-513145397650
STPT(10)	2499273137107564787	0 2 30 32 72 74 114 116 144 146	-298659531252
STPT(10)	2499273451771274987	0 2 12 14 42 44 72 74 84 86	16004178948
SPT(16)	2499274516584271271	0 2 20 26 30 32 48 72 86 110 126 128 132 138 156 158	1080817175232
STPT(10)	2499274733136132737	0 2 30 32 120 122 210 212 240 242	1297369036698
STPT(10)	2499275100678111317	0 2 42 44 72 74 102 104 144 146	1664911015278
SPT(16)	2499275103084673387	0 96 132 136 162 166 192 246 250 304 330 334 360 364 400 496	1667317577348