Prime p₀= 800135496979858997 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: marsinph
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	800134606444073773	0 34 48 60 108 118 126 196 228 298 306 316 364 376 390 424	-890535785224
SPT(16)	800134607574154841	0 32 42 60 62 86 92 98 120 126 132 156 158 176 186 218	-889405704156
SPT(16)	800134632527170609	0 4 40 42 54 60 142 180 274 312 394 400 412 414 450 454	-864452688388
SPT(16)	800134960809919939	0 10 18 70 72 94 100 144 178 222 228 250 252 304 312 322	-536169939058
STPT(10)	800135282440206917	0 2 12 14 42 44 72 74 84 86	-214539652080
SPT(16)	800135300595116471	0 20 30 42 102 116 126 170 198 242 252 266 326 338 348 368	-196384742526
SPT(16)	800135707157949091	0 42 46 70 72 76 88 142 156 210 222 226 228 252 256 298	210178090094
SPT(16)	800135775286139101	0 12 28 40 46 76 108 112 186 190 222 252 258 270 286 298	278306280104
TPT(14)	800135811117068051	0 2 6 8 66 68 108 110 150 152 216 218 246 248	314137209054
SPT(16)	800135971092133381	0 18 28 30 60 72 102 142 228 268 298 310 340 342 352 370	474112274384
STPT(10)	800136435175835039	0 2 18 20 60 62 102 104 120 122	938195976042