Prime p₀= 2365198666400581379 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: MarkRBright
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2365197481787663099	0 2 80 198 210 212 240 272 300 332 360 362 374 492 570 572	-1184612918280
STPT(10)	2365197541339764827	0 2 174 176 192 194 210 212 384 386	-1125060816552
STPT(10)	2365197942539889551	0 2 6 8 48 50 90 92 96 98	-723860691828
SPT(16)	2365197993026774407	0 6 12 24 34 42 46 102 154 210 214 222 232 244 250 256	-673373806972
STPT(10)	2365198125656331521	0 2 6 8 108 110 210 212 216 218	-540744249858
TPT(14)	2365198407727889429	0 2 42 44 78 80 150 152 192 194 222 224 252 254	-258672691950
STPT(12)	2365198910050345427	0 2 42 44 60 62 84 86 102 104 144 146	243649764048
SPT(16)	2365199128163743987	0 52 66 82 90 112 136 162 250 276 300 322 330 346 360 412	461763162608
STPT(12)	2365199362629232469	0 2 42 44 60 62 72 74 90 92 132 134	696228651090
SPT(16)	2365199850712935913	0 6 28 34 40 46 154 160 174 180 288 294 300 306 328 334	1184312354534
STPT(12)	2365200124571184167	0 2 24 26 114 116 120 122 210 212 234 236	1458170602788