Prime p₀= 1245558049572661007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Megacruncher
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1245557614272773927	0 2 30 32 72 74 114 116 144 146	-435299887080
STPT(10)	1245557639990300639	0 2 30 32 60 62 90 92 120 122	-409582360368
SPT(16)	1245557686136994001	0 10 52 66 72 76 90 150 238 298 312 316 322 336 378 388	-363435667006
SPT(16)	1245557702008317367	0 4 66 76 94 120 150 154 186 190 220 246 264 274 336 340	-347564343640
SPT(16)	1245557737667239751	0 2 56 60 68 80 86 152 156 222 228 240 248 252 306 308	-311905421256
STPT(10)	1245557776471316879	0 2 18 20 30 32 42 44 60 62	-273101344128
SPT(16)	1245558124013755087	0 12 22 40 106 126 132 142 144 154 160 180 246 264 274 286	74441094080
STPT(10)	1245558371180465957	0 2 24 26 42 44 60 62 84 86	321607804950
STPT(10)	1245558695004849227	0 2 30 32 72 74 114 116 144 146	645432188220
SPT(16)	1245559324761226187	0 26 84 104 122 126 146 194 312 360 380 384 402 422 480 506	1275188565180
SPT(16)	1245559327280092411	0 10 28 52 88 132 136 142 186 192 196 240 276 300 318 328	1277707431404