Prime p₀= 786181650069707807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: marsinph
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	786181128136898443	0 6 28 46 60 96 108 120 136 148 160 196 210 228 250 256	-521932809364
STPT(10)	786181279216900937	0 2 30 32 42 44 54 56 84 86	-370852806870
STPT(10)	786181279402068029	0 2 18 20 30 32 42 44 60 62	-370667639778
TPT(14)	786181370994227471	0 2 18 20 180 182 198 200 240 242 258 260 300 302	-279075480336
SPT(16)	786181376934956243	0 90 128 204 218 246 260 264 290 294 308 336 350 426 464 554	-273134751564
SPT(16)	786181440442261561	0 10 52 78 90 112 132 150 190 208 228 250 262 288 330 340	-209627446246
STPT(10)	786182563637355887	0 2 30 32 72 74 114 116 144 146	913567648080
SPT(16)	786182727876633413	0 96 126 134 138 140 174 176 228 230 264 266 270 278 308 404	1077806925606
TPT(14)	786182862989475629	0 2 12 14 42 44 72 74 210 212 240 242 270 272	1212919767822
STPT(12)	786182862989475641	0 2 30 32 60 62 198 200 228 230 258 260	1212919767834
STPT(10)	786182869891398191	0 2 36 38 78 80 120 122 156 158	1219821690384