Prime p₀= 1131614298453859679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: crashtech
db: batch=76, k=10, 2 16 2 10 2

TPT(14)	1131613131298375511	0 2 36 38 60 62 78 80 126 128 168 170 216 218	-1167155484168
STPT(10)	1131613163006946869	0 2 18 20 30 32 42 44 60 62	-1135446912810
TPT(14)	1131613580585175029	0 2 18 20 108 110 138 140 168 170 192 194 210 212	-717868684650
SPT(16)	1131613822027746899	0 14 50 84 92 102 108 188 204 284 290 300 308 342 378 392	-476426112780
SPT(16)	1131614225462817139	0 18 60 70 82 112 138 192 208 262 288 318 330 340 382 400	-72991042540
TPT(14)	1131614294181921791	0 2 66 68 96 98 150 152 258 260 288 290 306 308	-4271937888
STPT(10)	1131614391788213129	0 2 18 20 30 32 42 44 60 62	93334353450
SPT(16)	1131614520353042161	0 42 46 88 90 100 160 192 196 228 288 298 300 342 346 388	221899182482
SPT(16)	1131614935833048851	0 6 42 90 98 108 120 150 158 188 200 210 218 266 302 308	637379189172
STPT(10)	1131614974510077269	0 2 42 44 60 62 78 80 120 122	676056217590
STPT(10)	1131615064879554527	0 2 30 32 42 44 54 56 84 86	766425694848