Prime p₀= 1088625638938223567 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: JonS
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1088624496488456957	0 14 30 32 50 60 84 86 150 152 176 186 204 206 222 236	-1142449766610
SPT(16)	1088624554280536771	0 16 42 120 156 166 172 186 376 390 396 406 442 520 546 562	-1084657686796
STPT(10)	1088624683311355649	0 2 18 20 30 32 42 44 60 62	-955626867918
STPT(10)	1088624758021110929	0 2 78 80 150 152 222 224 300 302	-880917112638
STPT(10)	1088625157947014717	0 2 30 32 42 44 54 56 84 86	-480991208850
STPT(10)	1088625300655901597	0 2 30 32 42 44 54 56 84 86	-338282321970
SPT(16)	1088626151711740283	0 20 36 48 54 66 110 140 144 174 218 230 236 248 264 284	512773516716
STPT(10)	1088626311039867371	0 2 36 38 78 80 120 122 156 158	672101643804
SPT(16)	1088626374542729213	0 78 104 140 146 156 224 230 234 240 308 318 324 360 386 464	735604505646
STPT(12)	1088626740253671587	0 2 12 14 42 44 150 152 180 182 192 194	1101315448020
SPT(16)	1088627523265153591	0 40 58 96 118 156 180 208 210 238 262 300 322 360 378 418	1884326930024