Prime p₀= 1295723815612070417 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: Cruncher Pete
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1295722719498300419	0 2 18 20 30 32 42 44 60 62	-1096113769998
SPT(16)	1295722770580802657	0 14 62 84 90 104 144 146 210 212 252 266 272 294 342 356	-1045031267760
SPT(16)	1295722824467492549	0 18 24 32 60 90 108 122 150 164 182 212 240 248 254 272	-991144577868
SPT(16)	1295723150052433463	0 74 84 86 96 126 128 138 176 186 188 218 228 230 240 314	-665559636954
STPT(10)	1295723165984967779	0 2 42 44 90 92 138 140 180 182	-649627102638
STPT(10)	1295723173893360827	0 2 24 26 42 44 60 62 84 86	-641718709590
SPT(16)	1295723866343600117	0 2 30 42 50 56 74 140 156 222 240 246 254 266 294 296	50731529700
STPT(10)	1295723874830774021	0 2 6 8 48 50 90 92 96 98	59218703604
TPT(14)	1295724158185677137	0 2 24 26 30 32 150 152 210 212 222 224 372 374	342573606720
STPT(10)	1295724239978422649	0 2 48 50 90 92 132 134 180 182	424366352232
SPT(16)	1295724244117289227	0 10 22 40 72 96 150 156 190 196 250 274 306 324 336 346	428505218810