Prime p₀= 1505907091006935077 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=78, k=10, 2 22 2 16 2

STPT(10)	1505905951910784839	0 2 18 20 30 32 42 44 60 62	-1139096150238
SPT(16)	1505906011651430089	0 24 54 60 72 78 120 142 150 172 214 220 232 238 268 292	-1079355504988
STPT(10)	1505906115576695057	0 2 30 32 42 44 54 56 84 86	-975430240020
SPT(16)	1505906222031708919	0 28 30 42 48 108 114 130 132 148 154 214 220 232 234 262	-868975226158
SPT(16)	1505906312486566259	0 20 48 90 122 132 150 152 168 170 188 198 230 272 300 320	-778520368818
STPT(10)	1505906997393927197	0 2 24 26 42 44 60 62 84 86	-93613007880
SPT(16)	1505907098871484637	0 14 32 42 66 104 116 132 224 240 252 290 314 324 342 356	7864549560
STPT(10)	1505907660964318397	0 2 30 32 60 62 90 92 120 122	569957383320
SPT(16)	1505907999536147869	0 28 58 72 84 90 112 160 162 210 232 238 250 264 294 322	908529212792
SPT(16)	1505908185626082857	0 14 90 126 150 152 216 260 306 350 414 416 440 476 552 566	1094619147780
STPT(10)	1505908413675986141	0 2 6 8 48 50 90 92 96 98	1322669051064