Prime p₀= 1116218533003836107 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

STPT(10)	1116217362213704159	0 2 12 14 90 92 168 170 180 182	-1170790131948
STPT(10)	1116217479540161819	0 2 42 44 60 62 78 80 120 122	-1053463674288
STPT(10)	1116217694981259677	0 2 42 44 72 74 102 104 144 146	-838022576430
TPT(14)	1116217766878365089	0 2 42 44 78 80 162 164 180 182 210 212 222 224	-766125471018
STPT(10)	1116217929725606759	0 2 18 20 30 32 42 44 60 62	-603278229348
STPT(10)	1116218521997539031	0 2 36 38 78 80 120 122 156 158	-11006297076
STPT(10)	1116219023595597527	0 2 12 14 72 74 132 134 144 146	490591761420
STPT(10)	1116219373678942859	0 2 18 20 30 32 42 44 60 62	840675106752
STPT(10)	1116219519191958677	0 2 12 14 42 44 72 74 84 86	986188122570
SPT(16)	1116219801018436973	0 6 48 50 60 80 108 134 150 176 204 224 234 236 278 284	1268014600866
SPT(16)	1116219825884980339	0 12 22 28 42 78 150 178 204 232 304 340 354 360 370 382	1292881144232