Prime p₀= 2291241792946189607 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: JonS
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2291239973074209457	0 10 24 76 102 154 196 244 252 300 342 394 420 472 486 496	-1819871980150
SPT(16)	2291240303356626001	0 28 66 78 100 106 112 132 136 156 162 168 190 202 240 268	-1489589563606
STPT(10)	2291240740659152369	0 2 42 44 90 92 138 140 180 182	-1052287037238
SPT(16)	2291240800555984621	0 66 108 142 172 186 192 196 222 226 232 246 276 310 352 418	-992390204986
STPT(10)	2291240866764579641	0 2 6 8 18 20 30 32 36 38	-926181609966
TPT(14)	2291241277144024547	0 2 42 44 180 182 234 236 312 314 354 356 480 482	-515802165060
STPT(10)	2291241999209961779	0 2 18 20 60 62 102 104 120 122	206263772172
STPT(10)	2291242385108209787	0 2 42 44 72 74 102 104 144 146	592162020180
STPT(10)	2291242387602941621	0 2 30 32 60 62 90 92 120 122	594656752014
SPT(16)	2291242916849453473	0 40 46 60 78 96 154 166 168 180 238 256 274 288 294 334	1123903263866
SPT(16)	2291243254030724167	0 16 30 40 132 142 160 172 180 192 210 220 312 322 336 352	1461084534560