Prime p₀= 928161807348384797 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: crashtech
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	928161046852727993	0 44 74 78 90 96 126 128 186 188 218 224 236 240 270 314	-760495656804
TPT(14)	928161067174976819	0 2 90 92 132 134 198 200 288 290 330 332 372 374	-740173407978
STPT(10)	928161133773673859	0 2 42 44 90 92 138 140 180 182	-673574710938
STPT(10)	928161160777618907	0 2 12 14 42 44 72 74 84 86	-646570765890
TPT(14)	928161187954606547	0 2 12 14 30 32 84 86 102 104 144 146 240 242	-619393778250
TPT(14)	928161801276129647	0 2 12 14 54 56 84 86 162 164 294 296 402 404	-6072255150
STPT(10)	928161999867938411	0 2 36 38 78 80 120 122 156 158	192519553614
STPT(10)	928162082174735459	0 2 42 44 60 62 78 80 120 122	274826350662
SPT(16)	928162214806654651	0 10 28 48 96 120 208 228 280 300 388 412 460 480 498 508	407458269854
SPT(16)	928162645030959391	0 88 120 130 132 172 180 216 322 358 366 406 408 418 450 538	837682574594
STPT(10)	928162841074963337	0 2 30 32 42 44 54 56 84 86	1033726578540