Prime p₀= 782499791485472969 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: [SG]FX
db: batch=73, k=10, 2 16 2 10 2

STPT(10)	782499453134518487	0 2 30 32 42 44 54 56 84 86	-338350954482
SPT(16)	782499481948828261	0 10 22 30 36 46 76 88 90 102 132 142 148 156 168 178	-309536644708
TPT(14)	782499556205773979	0 2 18 20 72 74 102 104 108 110 138 140 180 182	-235279698990
STPT(10)	782499613471755041	0 2 36 38 78 80 120 122 156 158	-178013717928
SPT(16)	782499685132863821	0 12 36 48 78 90 92 120 158 186 188 200 230 242 266 278	-106352609148
SPT(16)	782499734334935741	0 20 62 68 78 122 158 182 186 210 246 290 300 306 348 368	-57150537228
SPT(16)	782500034875121323	0 24 28 54 76 88 126 150 154 178 216 228 250 276 280 304	243389648354
SPT(16)	782500134223229101	0 16 30 60 82 96 136 142 180 186 226 240 262 292 306 322	342737756132
SPT(16)	782500202301431701	0 10 48 132 138 162 202 208 372 378 418 442 448 532 570 580	410815958732
SPT(16)	782500314848690681	0 8 48 132 140 152 162 188 210 236 246 258 266 350 390 398	523363217712
SPT(16)	782500360435265257	0 4 34 60 100 106 130 144 172 186 210 216 256 282 312 316	568949792288