Prime p₀= 745122188849999687 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: Theadalus
db: batch=73, k=10, 2 22 2 16 2

STPT(10)	745120749564392867	0 2 30 32 42 44 54 56 84 86	-1439285606820
STPT(10)	745120957662456899	0 2 18 20 30 32 42 44 60 62	-1231187542788
SPT(16)	745121013258287551	0 12 18 22 40 78 96 112 156 172 190 228 246 250 256 268	-1175591712136
SPT(16)	745121120089888063	0 4 36 48 60 70 88 96 148 156 174 184 196 208 240 244	-1068760111624
SPT(16)	745121233110714601	0 22 70 72 82 96 100 126 142 168 172 186 196 198 246 268	-955739285086
STPT(10)	745121670941018351	0 2 30 32 78 80 126 128 156 158	-517908981336
STPT(10)	745122319173729779	0 2 18 20 60 62 102 104 120 122	130323730092
SPT(16)	745122674606024461	0 28 48 70 88 120 172 252 256 336 388 420 438 460 480 508	485756024774
SPT(16)	745122986777374201	0 10 52 66 76 106 138 150 208 220 252 282 292 306 348 358	797927374514
SPT(16)	745123060432659023	0 26 36 68 86 98 120 170 174 224 246 258 276 308 318 344	871582659336
SPT(16)	745123145830570679	0 2 14 20 32 42 68 74 168 174 200 210 222 228 240 242	956980570992