Prime p₀= 2321896366889172251 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: JonS
db: batch=81, k=10, 2 4 2 40 2

SPT(13)	2321894535300089767	0 12 30 120 150 240 306 372 462 492 582 600 612	-1831589082484
STPT(10)	2321894685930162767	0 2 12 14 72 74 132 134 144 146	-1680959009484
STPT(10)	2321894797444948907	0 2 24 26 42 44 60 62 84 86	-1569444223344
SPT(16)	2321894829152372963	0 14 30 80 110 114 126 150 170 194 206 210 240 290 306 320	-1537736799288
TPT(14)	2321895832642551089	0 2 12 14 108 110 150 152 168 170 222 224 288 290	-534246621162
TPT(14)	2321895911949976457	0 2 42 44 54 56 60 62 102 104 144 146 300 302	-454939195794
STPT(10)	2321896679085636347	0 2 30 32 60 62 90 92 120 122	312196464096
SPT(16)	2321897297070506923	0 28 54 60 78 120 130 154 180 204 214 256 274 280 306 334	930181334672
SPT(16)	2321897300886158053	0 16 60 70 114 126 144 160 210 226 244 256 300 310 354 370	933996985802
SPT(16)	2321897329811782783	0 4 76 78 88 90 100 118 126 144 154 156 166 168 240 244	962922610532
SPT(16)	2321897521738379743	0 36 90 156 160 166 174 226 228 280 288 294 298 364 418 454	1154849207492