Prime p₀= 917366516404512917 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Paul
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	917365282061996819	0 2 42 44 60 62 78 80 120 122	-1234342516098
STPT(10)	917365399626808787	0 2 12 14 72 74 132 134 144 146	-1116777704130
SPT(13)	917365543815924043	0 78 96 168 180 210 228 246 276 288 360 378 456	-972588588874
SPT(16)	917366193212784787	0 24 40 42 52 70 90 106 180 196 216 234 244 246 262 286	-323191728130
SPT(16)	917366215486673011	0 72 90 112 120 126 132 142 180 190 196 202 210 232 250 322	-300917839906
SPT(16)	917366265634617431	0 2 8 62 66 86 132 150 188 206 252 272 276 330 336 338	-250769895486
TPT(14)	917366611370503667	0 2 60 62 114 116 174 176 240 242 282 284 294 296	94965990750
SPT(16)	917366613773278159	0 30 40 58 72 78 108 138 154 184 214 220 234 252 262 292	97368765242
TPT(14)	917366735448343319	0 2 42 44 150 152 192 194 228 230 240 242 270 272	219043830402
SPT(16)	917366972918882813	0 6 38 48 54 78 98 140 174 216 236 260 266 276 308 314	456514369896
STPT(10)	917367013915534277	0 2 30 32 42 44 54 56 84 86	497511021360